Assignment 4
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School
Pomona College *
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Course
5322
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
3
Uploaded by BrigadierFishPerson473
Level A • Case 1
1.
Read the General Guidelines for Teaching Algebra provided at the beginning of this case study. 2.
Read the STAR Sheets for each possible strategy listed above. 3.
Summarize the components of each strategy. Be sure to include how each strategy will support Sam and the benefits of using each strategy. For Teaching Vocabulary, The Concrete-Representational-Abstract Method involves gradually transitioning from concrete manipulatives to representational models and finally to abstract concepts, aiding Sam's comprehension of mathematical operations and expressions. This strategy breaks down complex mathematical concepts into tangible examples, ensuring Sam grasps foundational principles before advancing to another concept. Graphic Organizers can help Sam visually organize information, helping Sam's understanding of mathematical relationships and problem-solving strategies. By using these strategies, Sam's teacher can provide him with the necessary tools to master basic concepts, helping him to solve various equations involving integers, simplify equations, and tackle expressions and equations with variables, two-step, and multi-step equations. These strategies support Sam's learning by fostering comprehension, retention, and application of mathematical principles that will help his academic success.
Level B • Case 2 Study
1.
Read the STAR Sheets for the three strategies listed above. • Teaching Vocabulary • Graphic Organizers • Mnemonic Devises 2.
Explain how and why each strategy could assist José in reaching his goals.
Teaching vocabulary, graphic organizers, and mnemonic devices each offer unique advantages in assisting José in reaching his goals. Teaching vocabulary ensures that José understands key terms and concepts essential for tackling relations, functions, and algebraic equations. By mastering relevant terminology such as "function" and "point-slope form," José can better navigate through mathematical problems with clarity and precision. Graphic organizers provide visual frameworks that organize information, facilitating José's understanding of complex concepts by breaking them down into manageable components. These tools can aid him in identifying patterns, connections, and dependencies within mathematical problems, enhancing his problem-solving skills. Mnemonic devices offer memory aids that can help José recall crucial formulas, rules, and procedures more efficiently to apply them accurately in real-
life word problems. By using these strategies, José can determine relations, describe function ranges, utilize point-slope form, and solve algebraic equations confidently and effectively. 3.
Explain how you would involve José’s parents and develop an activity from one of the strategies that José’s parents could use at home.
Involving José’s parents can enhance his learning experience and reinforce concepts learned in school. To engage José’s parents, I would create regular parent
-teacher meetings that are focused on discussing José’s progress, his learning goals, and strategi
es for supporting his math development at home. Strategies his parents can use at home would be to create a “math concept map” with him to use a visual tool to organize and connect various mathematical concepts. They can start with “function” and then later they can use “domain”, “range”, “relation”, and “types of functions”. By constructing this concept map together, José will not only reinforce his understanding of mathematical concepts but also develop critical thinking and organizational
skills. Additionally, reviewing and updating the map regularly can serve as a productive way for José and his parents to review and solidify his mathematical knowledge. Level A • Case 3
1.
Read the General Guidelines for Teaching Algebra provided at the beginning of this case study. 2.
Read the STAR Sheet for the strategy listed above
. 3.
Summarize the components of the strategy. Be sure to include how the strategy will support Tyisha and the benefits of using the strategy. The strategy designed for Tyisha incorporates mnemonic devices as a key component to enhance memory retention and learning. Mnemonic devices, such as acronyms or visual imagery, will assist Tyisha in encoding and recalling information more effectively. By utilizing these techniques, Tyisha can better organize and remember complex concepts, making her study sessions more efficient and productive. For instance, she can create acronyms to remember lists or visualize vivid images to connect ideas. Creating this strategy will not only support Tyisha in her academics but will also provide her with lifelong learning skills. To solve a real-life word problem using algebra, such as calculating the total cost of a shopping trip including tax.
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