Reasoning in Mathematics: Type II and III Items

Participants will explore instructional strategies and effective questioning techniques for teaching reasoning in mathematics, review Type II and III tasks, and create their own items using provided templates and support documents to ensure conceptual understanding and precision in mathematical statements.

This workshop explores the integration of reasoning and modeling into mathematics instruction, emphasizing the development of students' problem-solving and critical thinking skills through Type II (Reasoning) and Type III (Modeling and Application) items from the NJSLA assessments. Participants are guided through the process of constructing meaningful questions, analyzing student thinking, and fostering deeper mathematical understanding. The session aims to prepare educators to shift their instructional practices to emphasize reasoning, justification, and real-world application of mathematics.

Core Needs Addressed

  • Lack of student reasoning and justification in mathematics

  • Limited exposure to real-world application tasks

  • Ineffective questioning strategies that hinder deep mathematical thinking

Key Learnings

  1. Design and Implementation of Reasoning-Based Tasks: Educators will learn how to construct and implement Type II and III items that challenge students to explain their reasoning, justify their answers, and apply mathematics in real-world contexts.

  2. Effective Questioning Techniques: Participants will develop skills in crafting higher-level, open-ended questions that stimulate mathematical discussion, support reasoning development, and encourage student-to-student interaction.

  3. Rubric Creation and Student Feedback: Educators will gain strategies for developing detailed scoring rubrics and sample student responses that promote clarity in expectations and support effective assessment of reasoning and modeling skills.

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