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Unit 5: Application of Mathematical Modelling in The Classroom

From KNILT

Learning Objectives

At the end of this unit, learners will be able to:

  • Create their own sequence of questions for a new mathematical model for an upcoming lesson
  • Promote the use of mathematical models in their own classrooms
  • Provide feedback for sample work on the use of mathematical models

Lesson Plan Modification

Do:

  • Select a lesson plan you will be teaching next week
  • Complete the exemplar work (with model) for the Problem of The Day
  • Create a sequence of questions that can be used for whole-class discussion and show-calling discussion
  • Once you are done, send me a pdf copy of the exemplar work and sequence of questions at emily.duong@albany.edu and I will provide feedback within 48 hours.

Reflect & Record:

  • What are some challenges you have encoutered when creating the exemplar work (with model) and sequence of questions?
  • Record your thoughts on the Jamboard here

Analyzing and Providing Feedback for Students' Work

Do #1:

  • Provide three specific feedback for the student's work on Place Value Chart on page 12 of the Jamboard here
  • Review two other feedback given by your peers

Do #2:

  • Provide three specific feedback for the student's work on Double Number Line on page 13 of the Jamboard here
  • Review two other feedback given by your peers

Mini-Stamp:

Providing feedback on the use of models is important to promote the use of models within math classroom. Students need to know what they did correctly and incorrectly while modeling. When giving feedback, the questions can be a mix of open-ended and closed-ended questions. However, if feedback is constructive, it has to be specific to students' work and target the misconceptions. It is also important to ask transferrable questions such as:

  • How does your model represent the problem?
  • What does __ represent? Where did you get __ from?
  • If [provide a context within the problem], how does [a part of students' work] make sense?

Reflect & Record:

  • What are some challenges you have encountered when giving feedback to students' work?
  • Record your thoughts on the Jamboard

Summative Assessment

Congratulations on getting to the final part of the last unit! You have gone through a long arduous process to support the use of mathematical models in your classroom and to support your students' mathematically conceptual understanding. For the final assessment, write a 300-word reflective essay to answer the following prompts:

  • In your own words, explain why mathematical models are important to students' learning.
  • How would you promote the use of mathematical models in your classroom?
  • Describe the roses and thorns of your own learning process in this mini-course. What went well? What challenges did you face?
  • Provide three specific feedback to this mini-course
  • Once you are done, send me a pdf copy of the final assessment at emily.duong@albany.edu

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