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      <title>Concept Based Mathematics- Chpt. 1 &amp; 2 by Michael Pichilla</title>
      <link>https://padlet.com/mamendi1/jryoitdu5itlassj</link>
      <description>M1.5: Wathall Synthesis Concept Map Chs 1 &amp; 2</description>
      <language>en-us</language>
      <pubDate>2025-09-05 16:55:55 UTC</pubDate>
      <lastBuildDate>2025-09-27 20:47:37 UTC</lastBuildDate>
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         <title>Concept Based Mathematics</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571020699</link>
         <description><![CDATA[<p>Concept Map over Dr. Wathall's Concept Based Mathematics Book Chapters 1 &amp; 2</p>]]></description>
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         <pubDate>2025-09-05 17:02:11 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571020699</guid>
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      <item>
         <title>Chapter 1: Why Is It Important for 
My Students to Learn 
Conceptually?</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571167927</link>
         <description><![CDATA[]]></description>
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         <pubDate>2025-09-05 19:32:56 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571167927</guid>
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         <title>Chapter 2: What Are the Levels of the Structures of Knowledge and Process for Mathematics?</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571185418</link>
         <description><![CDATA[]]></description>
         <enclosure url="https://www.picpedia.org/highway-signs/images/knowledge.jpg" />
         <pubDate>2025-09-05 19:58:44 UTC</pubDate>
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      <item>
         <title>The Structure of Knowledge &amp; Process</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571188828</link>
         <description><![CDATA[<p>According to Wathall, <strong>The Structure of Knowledge</strong> is a graphical representation of the relationship between the topics and facts, the concepts that are drawn from the content under study, and the generalization and principles that express conceptual relationships. <strong>The Structure of Process</strong> is a graphical representation of the relationship between the processes, strategies, skills and concepts, generalizations, and principles in process-driven disciplines. Applying these structures in teaching can help students not only know just the facts but help them by analyzing concepts, transferring them into generalizations and allowing to connect them to deeper understanding.  Both of these structures are needed as the foundation for understanding conceptual knowledge and procedural skills in mathematics. </p>]]></description>
         <enclosure url="https://corwin-connect.com/2016/11/need-know-structure-process/" />
         <pubDate>2025-09-05 20:04:52 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571188828</guid>
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         <title>Knowledge &amp; Process Structures Application in Teaching</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571189384</link>
         <description><![CDATA[<p>When teaching students Math, Its important for students to build the foundation on how to understand mathematical concepts whether it be through direct or indirect instruction. Wathall reviews how Two-Dimensional Model of Instructions focuses on facts and content of the subject where as Three Dimensional Model of Instruction includes what the two dimensional model offers but encourages students conceptual thinking and allows them to fully understand  effectively through the use of inquiry. </p>]]></description>
         <enclosure url="https://greatminds.org/math/blog/eureka/how-to-help-students-build-deep-understanding-of-math-concepts" />
         <pubDate>2025-09-05 20:06:09 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571189384</guid>
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         <title>The Levels of the Structure of Knowledge</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571191785</link>
         <description><![CDATA[<p>There are four levels of the Structure of Knowledge:</p><p><br></p><ol><li><p>The Factual Level</p><ul><li><p>Basic Level of Structure of Knowledge</p></li><li><p>Base around Rote Memorization</p></li><li><p>Include "Specific Examples" (Facts)</p></li></ul></li><li><p>The Topic/Conceptual Level (Conceptual)</p><ul><li><p>Understanding Theories, Structures, and Models</p></li><li><p>Knowing Basic Elements of a Larger Structure</p></li></ul></li><li><p>The Procedural Level</p><ul><li><p>The "How to" Processing Level</p></li><li><p>Making Connections to what they know and how they can interpret the information</p></li><li><p>Practice!</p></li></ul></li><li><p>The Metacognitive Level </p><ul><li><p>Top Level - Usually not Acknowledged or Achieved</p></li><li><p>Metacognitive knowledge can be understood as (1) strategic knowledge, (2) knowledge about cognitive tasks (i.e. contextual, conditional), and (3) self-knowledge</p></li></ul></li></ol>]]></description>
         <enclosure url="https://learningstrategist.org/2018/03/01/4-types-of-knowledge/" />
         <pubDate>2025-09-05 20:10:25 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571191785</guid>
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      <item>
         <title>The Levels of the Structure of Process</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571192829</link>
         <description><![CDATA[<p>The Levels of Strucrues of Processes include:</p><ul><li><p>Organized by Strategies, Skills, and Mathematical Processes</p></li><li><p>Encourages Higher Thinking and thinking of other concepts or ideas by considering concepts and making generalizations</p></li><li><p>Fully Understanding Material and Applying it across different platforms</p></li></ul><p><br></p><p><br></p>]]></description>
         <enclosure url="https://corwin-connect.com/2016/11/need-know-structure-process/" />
         <pubDate>2025-09-05 20:12:14 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571192829</guid>
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      <item>
         <title>Macro, Meso, and Micro Concepts in Mathematics</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571193773</link>
         <description><![CDATA[<p>Concepts in Mathematics have to meet the following criteria:</p><p><br></p><p>• Timeless</p><p>• Universal</p><p>• Transferable</p><p>• Abstract to varying degrees</p><p>• One or two words, or a short phrase</p><p>• Have different examples that share common attributes (Erickson, 2007)</p><p><br></p><p><strong><em><s>Macro Concepts</s></em></strong> - Broader Concepts that emcompasses a huge part of knowledge </p><p><br></p><p><strong><em>Meso Concepts and Micro Concepts </em></strong><em>-</em><strong><em>  </em></strong>More specfic levels that provide depth of understanding</p><p><br></p><p><br></p><p><br></p>]]></description>
         <enclosure url="https://www.educationandlearning.nl/news/the-micro-meso-and-macro-of-learning-analytics" />
         <pubDate>2025-09-05 20:13:28 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571193773</guid>
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      <item>
         <title>Two-Dimensional vs. Three-Dimensional Curriculum Models</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571195352</link>
         <description><![CDATA[<p><strong>Two-Dimensional Curriculum Model:</strong></p><p><br></p><ul><li><p>"Traditional View of Instruction", Focuses on knowing the information rather than deep understanding</p></li><li><p>Focuses on bottom tier levels of Structure of Knowledge and Processes</p></li><li><p>Starts by generalizations followed by direct instruction</p></li><li><p>Emphasis on Skills and Algorithims (Little Conceptual Thinking) </p></li></ul><p><br></p><p><strong>Three-Dimensional Curriculum Model:</strong></p><p><br></p><ul><li><p>More engaged view of the two-dimensional model but has a "third" stage where Generalizations are revisited and enduce conceptual thinking</p></li><li><p>Focuses on making concepts, generalizations, and principles to ensure that curriculum and instruction focus on intellectual depth, the transfer of understanding, and the development of conceptual brain schemata.</p></li><li><p>More difficult to generate into curriculum and assess on students than the two-dimensional model</p></li></ul><p><br></p><p><br></p>]]></description>
         <enclosure url="https://greatminds.org/science/blog/phd-science/how-to-assess-three-dimensional-learning" />
         <pubDate>2025-09-05 20:16:09 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571195352</guid>
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      <item>
         <title>Teaching for Inquiry</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571964482</link>
         <description><![CDATA[<p>In order to have students develop the technique to critically think and think conceptually when learning, Teachers need to instill techniques such as inquiry thinking. Inquiry thinking allow students to think past what information their given by posing questions, problems, or scenarios and allowing them to navigate themselves to the truth of the correct answer.</p>]]></description>
         <enclosure url="https://www.edutopia.org/article/blog-what-heck-inquiry-based-learning-heather-wolpert-gawron/" />
         <pubDate>2025-09-07 02:18:43 UTC</pubDate>
         <guid>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3571964482</guid>
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      <item>
         <title>The What and Why of Conceptual Learning</title>
         <author>mamendi1</author>
         <link>https://padlet.com/mamendi1/jryoitdu5itlassj/wish/3572039352</link>
         <description><![CDATA[<p><strong>What is Conceptual Learning?</strong> </p><p><br></p><p>Conceptual Learning is approach where one learn through getting little bits of information and relying on concepts and generalization to learn. This promotes critical thinking and a deep understanding at the topic at hand.  According to <em>UTeach</em>, Conceptual thinking allows students to see the "Big Picture" and understand deeper meanings. </p><p><br></p><p><strong>Why is Conceptual Learning Beneficial? </strong></p><p><br></p><p>Conceptual Learning is Beneficial for students because it allows students to apply concepts and generalizations in order to learn instead of using a direct way to learn. This promotes the student to critically think and encourage deep understanding to learn. This method of teaching can be beneficial to teachers as it allows their students to stay engage with the curriculum and builds life skills in the students.</p>]]></description>
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         <pubDate>2025-09-07 06:03:38 UTC</pubDate>
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