Four-level rubric for evaluating mathematical communication skills¶

Element · All elements
Evidence · 2 claims (2 for) · 1 study (1 causal), q2 · 0 of 1 report an effect size · 2 claims rest on one study

Description¶

An assessment instrument (Table 1) that scores students' mathematical communication on three criteria — math vocabulary (words, terms), mathematical representation (symbols, number axis, models, drawings, graphs, charts), and explain (argument, presentation) — each at four levels. For example, Level 1 vocabulary means "Using incorrect or not using mathematical language", while Level 4 explanation requires "Clear, logical, and coherent explanations include all details with correct answers and generalizations and extensions". The study used it to score pre- and post-test worksheets.

Design Implications¶

Context¶

Requirements¶

• Two experts in mathematics education reviewed the tests and rubric for credibility
• Grading followed a two-examiner process with a third grader if scores disagreed

Constraints¶

• Applied to written tests on congruent-triangle-related content in one grade 8 class

Target Learners¶

• grade 8 junior secondary students

Target Learning Goals¶

• mathematical vocabulary use
• mathematical representation
• explanation and argumentation

Claims¶

• Students' explanation (argument, presentation) levels improved after the intervention, though gains were smaller than in vocabulary [+W]
• Students' mathematical vocabulary use shifted from lower to higher rubric levels after the intervention [+W]

Related Elements¶

Examples¶

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Key Sources¶

• Uyen, B. P., Tong, D. H., & Tram, N. T. B. (2021). Developing mathematical communication skills for students in grade 8 in teaching congruent triangle topics. European Journal of Educational Research, 10(3), 1287-1302. https://doi.org/10.12973/eu-jer.10.3.1287