Teaching Methods—Mathematics

In a brief essay

A. Explain the relationship between multiplication and addition.

B. Describe how understanding the relationship between multiplication and addition contributes to students’ understanding of these operations. For example, how does multiplication extend addition concepts (e.g., manipulation of groups for a total product)?

C. Explain the commutative, associative, and distributive properties using examples.

D. For each property, describe how it is connected to thinking strategies students might use in performing computations (e.g., counting by two’s or five’s, groupings or “many sets of” items, adding several equal groups together).

E. Provide specific examples of at least two common conceptual errors.

1. Describe an instructional strategy that would serve to correct and/or avoid each of these conceptual errors (1 strategy per conceptual error for a total of at least 2 strategies).

2. Explain how each of the instructional strategies serves to correct and/or avoid its associated conceptual error.

F. When you use sources, include all in-text citations and references in APA format.

Note: When bulleted points are present in the task prompt, the level of detail or support called for in the rubric refers to those bulleted points.

Note: For definitions of terms commonly used in the rubric, see the Rubric Terms web link included in the Evaluation Procedures section.

Note: When using sources to support ideas and elements in a paper or project, the submission MUST include APA formatted in-text citations with a corresponding reference list for any direct quotes or paraphrasing. It is not necessary to list sources that were consulted if they have not been quoted or paraphrased in the text of the paper or project.

Note: No more than a combined total of 30% of a submission can be directly quoted or closely paraphrased from sources, even if cited correctly. For tips on using APA style, please refer to the APA Handout web link included in the General Instructions section.
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