Wathall Chapter 4 by Hugo Arcos https://padlet.com/harcos11/s5yatr92oobvfj2s Concept Based Mathematics en-us 2022-10-11 05:12:32 UTC 2022-10-11 06:20:10 UTC hello@padlet.com How do I plan units of work for a concept-based curriculum? harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334653070 2022-10-11 05:16:07 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334653070 How does unit planning empower teachers? harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334666133
  • Teachers do not have to follow a script or textbook
  • Instead, teachers use their creativity and innovation to guide and plan their lessons
  • In return, teachers take “control” of the “learning in lessons”
  • Teachers also have an input “into designing curriculum” 
  • Lastly, the concept-based approaches within unit planning make teachers more “involved,” “enthusiastic,” and able to “focus on underlying concepts.” 

    • ]]>     2022-10-11 05:28:45 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334666133     What are the main components for a math unit web? harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334685574

    ]]>     2022-10-11 05:49:26 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334685574     Meso Concept harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334685981
  • One main component is a meso concept 
  • A meso concept is a topic in math that is narrower than a macro, but broader than a micro
  • An example of a meso concept is the topic of functions

    • ]]>     2022-10-11 05:49:52 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334685981     Knowledge Strands harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334688170
  • Math unit webs also include knowledge strands, which “detail the concepts and content in the unit” 
  • These strands can be thought of as what a student should gain or bolster knowledge in
  • An example of a knowledge strand is derivative, within the web of calculus 

    • ]]>     2022-10-11 05:52:08 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334688170     Concepts in Mathematical Processes harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334689553
  • A last important component, which is a type of strand, is the “Concepts in Mathematical Processes”
  • This strand represents the “process generalizations specific to a unit” 
  • An example of this strand can include algebraic reasoning 



    • ]]>     2022-10-11 05:53:14 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334689553     How do the three types of essential questions—factual, conceptual, and debatable—support student learning? harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334692835
  • Each type of question targets different aspects and depths of learning 
  • Overall, these types of questions help students "connect the factual support with the conceptual understandings" 

    • ]]>     2022-10-11 05:56:34 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334692835     Factual Questions harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334709944
  • Factual questions provide a superficial and straightforward understanding of material
  • An example may include knowing what range means, or slope-intercept form
  • Yet, factual questions often work to support and encourage conceptual questions

    • ]]>     2022-10-11 06:13:03 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334709944     Conceptual harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334711604
  • Conceptual questions require a basic completion of factual questions, and begin to test the understanding of processes and purpose behind the math 
  • An example of a conceptual question is how can determining the slope be useful in linear functions?

    • ]]>     2022-10-11 06:14:43 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334711604     Debatable harcos11 https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334713927
  • A debatable question allows the student to exercise what they’ve learned and engage in discussion that gets them talking and discussing about the material 
  • It encourages students to defend and question what they have learned, which adds another layer of involvement! 
  • An example is how reliable are predictions when using models?
    • ]]>     2022-10-11 06:17:05 UTC https://padlet.com/harcos11/s5yatr92oobvfj2s/wish/2334713927