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Direct linkWatanabe, Tad – Mathematics Teaching in the Middle School, 2015
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) identifies the strategic use of appropriate tools as one of the mathematical practices and emphasizes the use of pictures and diagrams as reasoning tools. Starting with the early elementary grades, CCSSM discusses students' solving of problems "by drawing." In later…
Descriptors: Foreign Countries, Mathematics Education, Secondary School Mathematics, Middle School Students
Gil, Einat; Ben-Zvi, Dani – Mathematical Thinking and Learning: An International Journal, 2011
Explanations are considered to be key aids to understanding the study of mathematics, science, and other complex disciplines. This paper discusses the role of students' explanations in making sense of data and learning to reason informally about statistical inference. We closely follow students' explanations in which they utilize their experiences…
Descriptors: Statistical Inference, Abstract Reasoning, Grade 6, Elementary School Students
Izsak, Andrew – Cognition and Instruction, 2008
The present study contrasts mathematical knowledge that two sixth-grade teachers apparently used when teaching fraction multiplication with the Connected Mathematics Project materials. The analysis concentrated on those tasks from the materials that use drawings to represent fractions as length or area quantities. Examining the two teachers'…
Descriptors: Mathematics Education, Mathematics Instruction, Grade 6, Teacher Attitudes
