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Direct linkKaren S. Karp; Sarah B. Bush; Barbara J. Dougherty – Mathematics Teacher: Learning and Teaching PK-12, 2025
Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…
Descriptors: Teaching Methods, Mathematics Instruction, Arithmetic, Mathematical Concepts
White, Dorothy Y. – Mathematics Teacher: Learning and Teaching PK-12, 2022
Every student has mathematical strengths beyond knowing basic facts, solving problems quickly, or showing work clearly. In this article, the author presents Smiles as an "on-ramp" task that supports students working together by unveiling and leveraging mathematical strengths. Nielsen describes on-ramp mathematics tasks as scaffolds that…
Descriptors: Mathematics Skills, Cooperative Learning, Problem Solving, Puzzles
Brave, Kathryn Lavin; Miller, Jillian – Mathematics Teacher: Learning and Teaching PK-12, 2022
During the past few years, the social interactions of students have been limited. The act of social distancing has not only exacerbated developmental gaps in social and emotional learning (SEL) (Vaillancourt et al. 2021) but also interrupted mathematics instruction (Lewis et al. 2021). Teachers are searching for strategies that promote…
Descriptors: Social Emotional Learning, Mathematics Instruction, Problem Solving, Computation
Bishop, Jessica Pierson; Lamb, Lisa L.; Whitacre, Ian; Philipp, Randolph A.; Schappelle, Bonnie P. – Mathematics Teacher: Learning and Teaching PK-12, 2022
In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…
Descriptors: Thinking Skills, Problem Solving, Mathematics Instruction, Logical Thinking
She, Xiaobo; Harrington, Timothy – Mathematics Teacher: Learning and Teaching PK-12, 2022
Problem solving has been the focus of the Common Core State Standards for Mathematical Practice. Helping students acquire critical-thinking and problem-solving skills has become the primary goal of mathematics education across all grade levels. However, research has found that many students struggle with word problems because of poor text…
Descriptors: Word Problems (Mathematics), Problem Solving, Mathematics Instruction, Visual Aids
Clarkson, Kelsey A.; Tobias, Jennifer M. – Mathematics Teacher: Learning and Teaching PK-12, 2020
Representing repeating nonterminating decimals as rational numbers is a topic introduced in the seventh-grade Common Core State Standards for Mathematics. According to Content Standard 7.NS.2.D., students should be able to represent a rational number as a decimal and understand that the decimal will either end in zeros or eventually repeat (NGO…
Descriptors: Secondary School Mathematics, Number Concepts, Arithmetic, Mathematics Skills
