{"id":3599,"date":"2018-08-02T13:55:56","date_gmt":"2018-08-02T13:55:56","guid":{"rendered":"https:\/\/lessonresearch.net\/?page_id=3599"},"modified":"2026-01-28T05:48:27","modified_gmt":"2026-01-28T05:48:27","slug":"boardwork","status":"publish","type":"page","link":"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/","title":{"rendered":"Boardwork"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; make_equal=&#8221;on&#8221; specialty=&#8221;on&#8221; padding_top_1=&#8221;0px&#8221; padding_top_2=&#8221;0px&#8221; padding_right_2=&#8221;0px&#8221; padding_bottom_2=&#8221;0px&#8221; padding_left_2=&#8221;0px&#8221; padding_top_bottom_link_1=&#8221;false&#8221; padding_top_bottom_link_2=&#8221;false&#8221; padding_left_right_link_1=&#8221;false&#8221; padding_left_right_link_2=&#8221;false&#8221; padding_1_tablet=&#8221;0px||||false|false&#8221; padding_1_phone=&#8221;&#8221; padding_1_last_edited=&#8221;on|phone&#8221; admin_label=&#8221;Header&#8221; module_id=&#8221;inner-banner&#8221; _builder_version=&#8221;4.16&#8243; background_color=&#8221;#FFFFFF&#8221; module_alignment=&#8221;center&#8221; min_height=&#8221;300px&#8221; custom_padding=&#8221;0px||0px||false|false&#8221; bottom_divider_color=&#8221;#f6f7f7&#8243; bottom_divider_flip=&#8221;horizontal&#8221; custom_css_main_element=&#8221;border-bottom-left-radius: 50%;||border-bottom-right-radius: 50%;&#8221; box_shadow_style=&#8221;preset1&#8243; box_shadow_vertical=&#8221;5px&#8221; box_shadow_blur=&#8221;12px&#8221; box_shadow_color=&#8221;rgba(0,0,0,0.14)&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; specialty_columns=&#8221;2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_row_inner use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; module_id=&#8221;innner-row-1&#8243; module_class=&#8221;innner-row-1&#8243; _builder_version=&#8221;4.16&#8243; max_width=&#8221;1280px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;||||false|false&#8221; custom_margin_last_edited=&#8221;off|tablet&#8221; custom_padding=&#8221;||0px||false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column_inner saved_specialty_column_type=&#8221;1_2&#8243; module_id=&#8221;inner-vol&#8221; admin_label=&#8221;Column&#8221; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||70px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; text_font_size=&#8221;20px&#8221; text_line_height=&#8221;1.8em&#8221; header_font=&#8221;GalanoGrotesqueAltBold|700|||||||&#8221; header_text_color=&#8221;gcid-260c2782-8cd7-4212-a449-cc62fe15ef25&#8243; header_font_size=&#8221;52px&#8221; header_line_height=&#8221;52px&#8221; width=&#8221;100%&#8221; custom_padding=&#8221;|0px||||&#8221; header_font_size_tablet=&#8221;40px&#8221; header_font_size_phone=&#8221;30px&#8221; header_font_size_last_edited=&#8221;on|phone&#8221; global_colors_info=&#8221;{%22gcid-260c2782-8cd7-4212-a449-cc62fe15ef25%22:%91%22header_text_color%22%93}&#8221;]<\/p>\n<h1 style=\"text-align: left;\">Teaching Through Problem-solving<br \/>\n<\/h1>\n<p>In Teaching Through Problem-solving (TTP), students develop each new mathematical concept by solving a problem that illuminates it.[\/et_pb_text][\/et_pb_column_inner][\/et_pb_row_inner][et_pb_row_inner module_id=&#8221;innner-row-2&#8243; module_class=&#8221;innner-row-2&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column_inner saved_specialty_column_type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;Scroll Button&#8221; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; link_option_url=&#8221;#what-is-lesson-study&#8221; global_colors_info=&#8221;{}&#8221;]<a class=\"arrow-top resource\" href=\"#what-is-lesson-study\">arrow<\/a>[\/et_pb_text][\/et_pb_column_inner][\/et_pb_row_inner][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/lessonresearch.net\/wp-content\/uploads\/2018\/06\/MG_0338_optimized.jpg&#8221; alt=&#8221;An elementary-age male student points while his female teacher stands beside him and observes&#8221; title_text=&#8221;MG_0338_optimized&#8221; admin_label=&#8221;Image&#8221; module_id=&#8221;innner-row-img&#8221; module_class=&#8221;innner-row-img&#8221; _builder_version=&#8221;4.16&#8243; background_enable_image=&#8221;off&#8221; width=&#8221;90%&#8221; module_alignment=&#8221;right&#8221; max_height_last_edited=&#8221;off|tablet&#8221; custom_margin=&#8221;0px||0px|-21px|true|false&#8221; custom_padding=&#8221;0px||0px|1px|true|false&#8221; border_radii=&#8221;off||||&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; module_id=&#8221;what-is-lesson-study&#8221; module_class=&#8221;nopadding-bottom understand-study-section&#8221; _builder_version=&#8221;4.16&#8243; background_color=&#8221;#f6f7f7&#8243; custom_padding=&#8221;0px||||false|false&#8221; top_divider_flip=&#8221;vertical&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row _builder_version=&#8221;4.27.5&#8243; _module_preset=&#8221;default&#8221; max_width=&#8221;1136px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;0px||||false|false&#8221; custom_padding=&#8221;0px||20px||false|false&#8221; hover_enabled=&#8221;0&#8243; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_code _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px|-135px|||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<div class=\"toolbox-header-menu-container12 learning-menu\"><ul id=\"menu-ttp-menu\" class=\"menu\"><li id=\"menu-item-3586\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3586\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/overview\/\" data-pageid=\"3585\">Overview<\/a><\/li>\n<li id=\"menu-item-3600\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3600\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/journals\/\" data-pageid=\"3598\">Journals<\/a><\/li>\n<li id=\"menu-item-3601\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3601\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\" data-pageid=\"3599\">Boardwork<\/a><\/li>\n<li id=\"menu-item-3607\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3607\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/discussion\/\" data-pageid=\"3602\">Discussion<\/a><\/li>\n<li id=\"menu-item-16896\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-16896\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/get-started\/\" data-pageid=\"16894\">Get started<\/a><\/li>\n<li id=\"menu-item-3606\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3606\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-in-action\/\" data-pageid=\"3603\">TTP in Action<\/a><\/li>\n<li id=\"menu-item-3605\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3605\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-resources\/\" data-pageid=\"3604\">Resources<\/a><\/li>\n<\/ul><\/div><!-- [et_pb_line_break_holder] --><div class=\"inner-mobile-menu\"><form><select><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/overview\/\">Overview<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/journals\/\">Journals<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\">Boardwork<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/discussion\/\">Discussion<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/get-started\/\">Get started<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-in-action\/\">TTP in Action<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-resources\/\">Resources<\/option><\/select><\/form><\/div>[\/et_pb_code][et_pb_code _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;90px|||||&#8221; custom_padding=&#8221;0px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_code][\/et_pb_column][\/et_pb_row][et_pb_row make_equal=&#8221;on&#8221; _builder_version=&#8221;4.16&#8243; max_width=&#8221;1110px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;10px|auto||auto||&#8221; custom_padding=&#8221;||1px|||&#8221; width_unit=&#8221;off&#8221; custom_width_percent=&#8221;100%&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text admin_label=&#8221;Description&#8221; module_class=&#8221;page-description custom-width-65&#8243; _builder_version=&#8221;4.16&#8243; text_font=&#8221;GalanoGrotesqueAltMedium|500|||||||&#8221; text_text_color=&#8221;#343085&#8243; text_font_size=&#8221;18px&#8221; text_line_height=&#8221;31px&#8221; width=&#8221;65%&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;10px||10px||false|false&#8221; custom_padding=&#8221;||0px||false|false&#8221; z_index_tablet=&#8221;500&#8243; text_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; text_text_shadow_vertical_length_tablet=&#8221;0px&#8221; text_text_shadow_blur_strength_tablet=&#8221;1px&#8221; link_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; link_text_shadow_vertical_length_tablet=&#8221;0px&#8221; link_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ul_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ul_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ul_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ol_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ol_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ol_text_shadow_blur_strength_tablet=&#8221;1px&#8221; quote_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; quote_text_shadow_vertical_length_tablet=&#8221;0px&#8221; quote_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_2_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_2_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_2_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_3_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_3_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_3_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_4_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_4_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_4_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_5_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_5_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_5_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_6_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_6_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_6_text_shadow_blur_strength_tablet=&#8221;1px&#8221; box_shadow_horizontal_tablet=&#8221;0px&#8221; box_shadow_vertical_tablet=&#8221;0px&#8221; box_shadow_blur_tablet=&#8221;40px&#8221; box_shadow_spread_tablet=&#8221;0px&#8221; saved_tabs=&#8221;all&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<blockquote><p>The key to effective boardwork is doing the problem yourself and then anticipating how your students will solve it. It is from this perspective you monitor, select, and sequence the student work to share on the board.<\/p>\n<p><span class=\"quote-name\">\u2014Alex Johansen-Laughlin<\/span><\/p>\n<p>Prieto Math and Science Academy, Chicago\n<\/p><\/blockquote>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Section Title: Understand Lesson Study&#8221; module_class=&#8221;page-sub-title&#8221; _builder_version=&#8221;4.16&#8243; header_text_align=&#8221;center&#8221; header_2_font=&#8221;GalanoGrotesqueAltSemiBold|700|||||||&#8221; header_2_text_align=&#8221;left&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;38px&#8221; max_width=&#8221;732px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;|0px|5px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Board Organization<\/h2>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Description&#8221; module_class=&#8221;page-description custom-width-65&#8243; _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; text_font_size=&#8221;16px&#8221; text_line_height=&#8221;26px&#8221; width=&#8221;65%&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;10px||10px||false|false&#8221; custom_padding=&#8221;||0px||false|false&#8221; z_index_tablet=&#8221;500&#8243; text_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; text_text_shadow_vertical_length_tablet=&#8221;0px&#8221; text_text_shadow_blur_strength_tablet=&#8221;1px&#8221; link_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; link_text_shadow_vertical_length_tablet=&#8221;0px&#8221; link_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ul_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ul_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ul_text_shadow_blur_strength_tablet=&#8221;1px&#8221; ol_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; ol_text_shadow_vertical_length_tablet=&#8221;0px&#8221; ol_text_shadow_blur_strength_tablet=&#8221;1px&#8221; quote_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; quote_text_shadow_vertical_length_tablet=&#8221;0px&#8221; quote_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_2_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_2_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_2_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_3_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_3_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_3_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_4_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_4_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_4_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_5_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_5_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_5_text_shadow_blur_strength_tablet=&#8221;1px&#8221; header_6_text_shadow_horizontal_length_tablet=&#8221;0px&#8221; header_6_text_shadow_vertical_length_tablet=&#8221;0px&#8221; header_6_text_shadow_blur_strength_tablet=&#8221;1px&#8221; box_shadow_horizontal_tablet=&#8221;0px&#8221; box_shadow_vertical_tablet=&#8221;0px&#8221; box_shadow_blur_tablet=&#8221;40px&#8221; box_shadow_spread_tablet=&#8221;0px&#8221; saved_tabs=&#8221;all&#8221; global_colors_info=&#8221;{}&#8221;]A well-organized board makes key ideas visible throughout a lesson so that students can:[\/et_pb_text][et_pb_text module_id=&#8221;list-btn1&#8243; module_class=&#8221;list-btn1&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;Georgia||||||||&#8221; text_text_color=&#8221;#343085&#8243; max_width=&#8221;730px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;||1px|||&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<ul class=\"list-n boar-list\">\n<li>Revisit each element of the lesson as needed\u2013the problem, a key model or illustration, classmates\u2019 solution strategies, etc.<\/li>\n<li>See the \u201cstory\u201d of the lesson, from the initial problem, through the solutions and insights developed by the class, to the summary of what they learned<\/li>\n<li>Compare different solution strategies and consider how their own thinking relates<\/li>\n<li>See the mathematical expression, visual model and verbal description associated with each solution strategy<\/li>\n<li>Experience an organized model for their own note-taking and reflection<\/li>\n<li>Become \u201cmeta-cognitive\u201d as they see how new ideas are developed in mathematics<\/li>\n<\/ul>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/lessonresearch.net\/wp-content\/uploads\/2018\/07\/Alex-with-student-at-board.jpg&#8221; 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box_shadow_blur_tablet=&#8221;40px&#8221; box_shadow_spread_tablet=&#8221;0px&#8221; saved_tabs=&#8221;all&#8221; global_colors_info=&#8221;{}&#8221;]An organized board can especially benefit students who need a little extra time to process an idea, or who need to re-connect with the lesson after a moment\u2019s distraction.  Since board organization stays the same across lessons, students know where to look for information.[\/et_pb_text][et_pb_text admin_label=&#8221;Section Title: Understand Lesson Study&#8221; module_class=&#8221;page-sub-title&#8221; _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; header_text_align=&#8221;center&#8221; header_2_font=&#8221;GalanoGrotesqueAltSemiBold|700|||||||&#8221; header_2_text_align=&#8221;left&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;38px&#8221; max_width=&#8221;732px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;30px|0px|5px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Sample Board<\/h2>\n<p>Notice the features of the sample board below, and imagine how consistent organization of the board in this way might benefit your students.<\/p>\n<p>[\/et_pb_text][et_pb_text module_id=&#8221;list-btn1&#8243; module_class=&#8221;list-btn1&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;Georgia||||||||&#8221; text_text_color=&#8221;#343085&#8243; max_width=&#8221;730px&#8221; module_alignment=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<ul class=\"list-n\">\n<li>The problem posed to students is shown at the upper left of the board, so students can refer back to it.<\/li>\n<li>The \u201clearning goal\u201d captures the problem as we hope students will pose it themselves.<\/li>\n<li>The \u201c friend\u2019s idea\u201d section of the blackboard captures student thinking and the student solution methods you select for presentation, in the order you want to discuss them, along with key information such as visual and mathematical models.<\/li>\n<li>The \u201csummary\u201d includes the mathematical points you hope to draw out of neriage (\u201ckneading\u201d) discussion.\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row make_equal=&#8221;on&#8221; _builder_version=&#8221;4.16&#8243; max_width=&#8221;1110px&#8221; custom_padding=&#8221;12px||19px|||&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/lessonresearch.net\/wp-content\/uploads\/2018\/07\/Screen-Shot-2018-07-24-at-2.41.31-PM.png&#8221; title_text=&#8221;Screen Shot 2018-07-24 at 2.41.31 PM&#8221; show_in_lightbox=&#8221;on&#8221; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; max_width=&#8221;60%&#8221; module_alignment=&#8221;center&#8221; border_radii=&#8221;on|20px|20px|20px|20px&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;0px||0px||true|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; text_font=&#8221;Georgia||on||||||&#8221; text_text_color=&#8221;#666666&#8243; text_font_size=&#8221;13px&#8221; text_letter_spacing=&#8221;0.5px&#8221; text_line_height=&#8221;21px&#8221; max_width=&#8221;800px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;10px||10px||false|false&#8221; global_colors_info=&#8221;{}&#8221;]Adapted from Mathematics 4B for Elementary School (p. 28), H. Hironaka &#038; Y. Sugiyama (eds.), 2006, Tokyo: Tokyo Shoseki Ltd. Copyright 2006 by Tokyo Shoseki Ltd. Adapted with permission.[\/et_pb_text][et_pb_text admin_label=&#8221;Section Title: Understand Lesson Study&#8221; module_class=&#8221;page-sub-title&#8221; _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; text_font_size=&#8221;16px&#8221; text_line_height=&#8221;26px&#8221; header_text_align=&#8221;center&#8221; header_2_font=&#8221;GalanoGrotesqueAltSemiBold|700|||||||&#8221; header_2_text_align=&#8221;left&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;38px&#8221; max_width=&#8221;800px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;|0px|5px|0px|false|false&#8221; custom_padding=&#8221;0px||10px||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p>Japanese board writing often seems spontaneous, since it features ideas and student work that emerge during the lesson. In fact, teachers typically plan board writing in advance, as they think about the key ideas and models on the board that will spark, capture and advance students\u2019 thinking.<\/p>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Section Title: Understand Lesson Study&#8221; module_class=&#8221;page-sub-title&#8221; _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; text_font_size=&#8221;16px&#8221; text_line_height=&#8221;26px&#8221; header_text_align=&#8221;center&#8221; header_2_font=&#8221;GalanoGrotesqueAltSemiBold|700|||||||&#8221; header_2_text_align=&#8221;left&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;38px&#8221; max_width=&#8221;800px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;|0px|5px|0px|false|false&#8221; custom_padding=&#8221;0px||10px||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p>International comparisons reveal that Japanese mathematics teachers use the board more frequently than do teachers in Germany and the U.S., and that Japanese teachers tend to keep the board writing throughout the lesson, rather than erasing parts of it during the lesson. The board writing provides a record of the lesson that students can consult as they summarize and reflect on what they learned.<\/p>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Section Title: Understand Lesson Study&#8221; module_class=&#8221;page-sub-title&#8221; _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; text_font_size=&#8221;16px&#8221; text_line_height=&#8221;26px&#8221; header_text_align=&#8221;center&#8221; header_2_font=&#8221;GalanoGrotesqueAltSemiBold|700|||||||&#8221; header_2_text_align=&#8221;left&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;38px&#8221; max_width=&#8221;800px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;|0px|5px|0px|false|false&#8221; custom_padding=&#8221;0px||10px||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p>Teachers often find that creating a board plan provides an opportunity to think through the whole lesson\u2013from posing the problem, to choosing and sequencing student work that will be shared, to identifying the key ideas that will emerge from the neriage discussion and the summary.<\/p>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Section Title: Understand Lesson Study&#8221; module_class=&#8221;page-sub-title&#8221; _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; text_font_size=&#8221;16px&#8221; text_line_height=&#8221;26px&#8221; header_text_align=&#8221;center&#8221; header_2_font=&#8221;GalanoGrotesqueAltSemiBold|700|||||||&#8221; header_2_text_align=&#8221;left&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;38px&#8221; max_width=&#8221;800px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;|0px|5px|0px|false|false&#8221; custom_padding=&#8221;0px||10px||false|false&#8221; global_colors_info=&#8221;{}&#8221;]A <a href=\"\/wp-content\/uploads\/2018\/07\/Blank-Board-Plan.pptx\" target=\"_blank\" rel=\"noopener\">blank board plan template<\/a>\u00a0to create your own board plan on the resource tile below. You can then add it to the Research Lesson Plan (Section 10) of your Teaching-Learning Plan, if you are conducting Lesson Study.[\/et_pb_text][et_pb_text admin_label=&#8221;Section Title: Understand Lesson Study&#8221; module_class=&#8221;page-sub-title&#8221; _builder_version=&#8221;4.16&#8243; text_font=&#8221;Georgia||||||||&#8221; text_font_size=&#8221;16px&#8221; text_line_height=&#8221;26px&#8221; header_text_align=&#8221;center&#8221; header_2_font=&#8221;GalanoGrotesqueAltSemiBold|700|||||||&#8221; header_2_text_align=&#8221;left&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;38px&#8221; max_width=&#8221;800px&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;|0px|5px|0px|false|false&#8221; custom_padding=&#8221;0px||10px||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<p>Smartboard users can consider how to use their chosen technology to provide similar supports for students to actively build the new mathematical ideas. Video clips from Akihiko Takahashi\u2019s lesson\u00a0<a href=\"\/ttp-resource\/ways-counting-mathematical-expression-grades-3-4\/\"><i>Ways of Counting and Mathematical Expression<\/i><\/a>\u00a0and Joshua Lerner\u2019s lesson\u00a0<a href=\"\/ttp-resource\/conceptual-understanding-multiplication-grade-3\/\"><i>Conceptual Understanding of Multiplication<\/i><\/a>\u00a0provide some ideas for smartboard users.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_3,1_3,1_3&#8243; use_custom_gutter=&#8221;on&#8221; make_equal=&#8221;on&#8221; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; width=&#8221;86%&#8221; max_width=&#8221;1100px&#8221; module_alignment=&#8221;center&#8221; custom_padding=&#8221;||0px||false|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_3&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset1&#8243; box_shadow_vertical=&#8221;5px&#8221; box_shadow_blur=&#8221;12px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_code _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<a class=\"et_pb_so_resource  et_pb_so_resource_0 custom_target \" href=\"https:\/\/lessonresearch.net\/wp-content\/uploads\/2018\/07\/Blank-Board-Plan.pptx\" target=\"_blank\"><div class=\"resource-inner\">\n        <h5 class=\"resource-title\">Blank Board Plan Templates<\/h5>\n    <span class=\"resource-link document_link\">Download<\/span><img decoding=\"async\" src=\"https:\/\/lessonresearch.net\/wp-content\/uploads\/2018\/01\/powerpoint.png\" class=\"download-icon\"><\/div><\/a>[\/et_pb_code][\/et_pb_column][et_pb_column type=&#8221;1_3&#8243; disabled_on=&#8221;off|off|off&#8221; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset1&#8243; box_shadow_vertical=&#8221;5px&#8221; box_shadow_blur=&#8221;12px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_code _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<a class=\"et_pb_so_resource  et_pb_so_resource_0 custom_target \" href=\"https:\/\/lessonresearch.net\/wp-content\/uploads\/2020\/07\/Blank-Board-Plan.pdf\" target=\"_blank\"><div class=\"resource-inner\">\n        <h5 class=\"resource-title\">Blank Board Plan Template (PDF)<\/h5>\n    <span class=\"resource-link document_link\">Download<\/span><img decoding=\"async\" src=\"https:\/\/lessonresearch.net\/wp-content\/uploads\/2018\/01\/pdf.jpg\" class=\"download-icon\"><\/div><\/a>[\/et_pb_code][\/et_pb_column][et_pb_column type=&#8221;1_3&#8243; disabled_on=&#8221;on|on|on&#8221; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset1&#8243; box_shadow_vertical=&#8221;5px&#8221; box_shadow_blur=&#8221;12px&#8221; disabled=&#8221;on&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; header_5_font=&#8221;GalanoGrotesqueAltMedium|500|||||||&#8221; header_5_font_size=&#8221;20px&#8221; header_5_line_height=&#8221;28px&#8221; background_enable_color=&#8221;off&#8221; custom_padding=&#8221;30px|34px|30px|34px|true|true&#8221; link_option_url=&#8221;http:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/003172170608800406&#8243; border_radii=&#8221;on|15px|15px|15px|15px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"resource-inner\">\n<h5 class=\"resource-title\">Lesson Study Comes of Age in North America<\/h5>\n<div class=\"resource-btn\">\n<span class=\"resource-link document_link\">Download<\/span><img decoding=\"async\" src=\"\/wp-content\/uploads\/2018\/01\/pdf.jpg\" class=\"download-icon\">\n<\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;Get in touch&#8221; module_class=&#8221;get-in-touch-section&#8221; _builder_version=&#8221;4.16&#8243; background_color=&#8221;#343085&#8243; custom_padding=&#8221;90px||0px||false|false&#8221; top_divider_style=&#8221;curve&#8221; top_divider_color=&#8221;#f6f7f7&#8243; top_divider_height=&#8221;70px&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;3_4,1_4&#8243; use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; make_equal=&#8221;on&#8221; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; max_width=&#8221;1100px&#8221; module_alignment=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;3_4&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; header_2_font=&#8221;GalanoGrotesqueAltBold|700|||||||&#8221; header_2_text_align=&#8221;center&#8221; header_2_text_color=&#8221;#FFFFFF&#8221; header_2_letter_spacing=&#8221;0.5px&#8221; header_2_line_height=&#8221;26px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2>Can&#8217;t find a resource you need? Get in touch.<\/h2>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_4&#8243; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_button button_url=&#8221;\/contact\/&#8221; url_new_window=&#8221;on&#8221; button_text=&#8221;Contact Us&#8221; _builder_version=&#8221;4.16&#8243; _module_preset=&#8221;default&#8221; custom_button=&#8221;on&#8221; button_text_size=&#8221;14px&#8221; button_text_color=&#8221;#FFFFFF&#8221; button_bg_color=&#8221;#00c5c9&#8243; button_border_width=&#8221;0px&#8221; button_border_radius=&#8221;50px&#8221; button_letter_spacing=&#8221;0.5px&#8221; button_font=&#8221;GalanoGrotesqueAltMedium||||||||&#8221; button_use_icon=&#8221;off&#8221; custom_margin=&#8221;|||0px|false|false&#8221; custom_padding=&#8221;15px|45px|15px|45px|true|false&#8221; box_shadow_style=&#8221;preset1&#8243; box_shadow_vertical=&#8221;5px&#8221; box_shadow_blur=&#8221;12px&#8221; box_shadow_color=&#8221;rgba(0,0,0,0.1)&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_button][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Teaching Through Problem-solving In Teaching Through Problem-solving (TTP), students develop each new mathematical concept by solving a problem that illuminates it.arrow<div class=\"toolbox-header-menu-container12 learning-menu\"><ul id=\"menu-ttp-menu-2\" class=\"menu\"><li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3586\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/overview\/\" data-pageid=\"3585\">Overview<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3600\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/journals\/\" data-pageid=\"3598\">Journals<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3601\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\" data-pageid=\"3599\">Boardwork<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3607\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/discussion\/\" data-pageid=\"3602\">Discussion<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-16896\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/get-started\/\" data-pageid=\"16894\">Get started<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3606\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-in-action\/\" data-pageid=\"3603\">TTP in Action<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3605\"><a href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-resources\/\" data-pageid=\"3604\">Resources<\/a><\/li>\n<\/ul><\/div><div class=\"inner-mobile-menu\"><form><select><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/overview\/\">Overview<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/journals\/\">Journals<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\">Boardwork<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/discussion\/\">Discussion<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/get-started\/\">Get started<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-in-action\/\">TTP in Action<\/option><option  value=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/ttp-resources\/\">Resources<\/option><\/select><\/form><\/div>The key to effective boardwork is doing the problem yourself and then anticipating how your students will solve it. It is from this perspective you monitor, select, and sequence the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3584,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-3599","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Boardwork - The Lesson Study Group<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Boardwork - The Lesson Study Group\" \/>\n<meta property=\"og:description\" content=\"Teaching Through Problem-solving In Teaching Through Problem-solving (TTP), students develop each new mathematical concept by solving a problem that illuminates it.arrowThe key to effective boardwork is doing the problem yourself and then anticipating how your students will solve it. It is from this perspective you monitor, select, and sequence the [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\" \/>\n<meta property=\"og:site_name\" content=\"The Lesson Study Group\" \/>\n<meta property=\"article:modified_time\" content=\"2026-01-28T05:48:27+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"17 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\",\"url\":\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\",\"name\":\"Boardwork - The Lesson Study Group\",\"isPartOf\":{\"@id\":\"https:\/\/lessonresearch.net\/#website\"},\"datePublished\":\"2018-08-02T13:55:56+00:00\",\"dateModified\":\"2026-01-28T05:48:27+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lessonresearch.net\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Teaching Through Problem-solving\",\"item\":\"https:\/\/lessonresearch.net\/teaching-problem-solving\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Boardwork\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/lessonresearch.net\/#website\",\"url\":\"https:\/\/lessonresearch.net\/\",\"name\":\"The Lesson Study Group\",\"description\":\"at Mills College\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/lessonresearch.net\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Boardwork - The Lesson Study Group","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/lessonresearch.net\/teaching-problem-solving\/boardwork\/","og_locale":"en_US","og_type":"article","og_title":"Boardwork - The Lesson Study Group","og_description":"Teaching Through Problem-solving In Teaching Through Problem-solving (TTP), students develop each new mathematical concept by solving a problem that illuminates it.arrowThe key to effective boardwork is doing the problem yourself and then anticipating how your students will solve it. 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