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Showing 61 to 75 of 3,734 results Save | Export
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Wanko, Jeffrey J. – Mathematics Teacher, 2017
Working with language-independent logic structures can help students develop both inductive and deductive reasoning skills. The Japanese publisher Nikoli (with resources available both in print and online) produces a treasure trove of language-independent logic puzzles. The Nikoli print resources are mostly in Japanese, creating the extra…
Descriptors: Mathematics Instruction, Teaching Methods, Puzzles, Logical Thinking
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Goldenberg, E. Paul; Carter, Cynthia J.; Mark, June; Nikula, Johannah; Spencer, Deborah B. – Mathematics Teacher, 2017
The Common Core State Standards (CCSSI 2010) for Mathematical Practice have relevance even for those not in CCSS states because they describe the habits of mind that mathematicians--professionals as well as proficient school-age learners--use when doing mathematics. They provide a language to discuss aspects of mathematical practice that are of…
Descriptors: Mathematics Education, Mathematics Instruction, Common Core State Standards, Mathematics Skills
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Lo, Chung Kwan – Mathematics Teacher, 2017
There is a growing interest in using a flipped classroom format in day-to-day teaching. Direct computer-based individual instruction outside the classroom and interactive group learning activities inside the classroom are the two essential components of the flipped classroom model. By watching instructional videos, students can work through some…
Descriptors: Action Research, Video Technology, Teaching Methods, Grade 8
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Paoletti, Teo; Monahan, Ceire; Vishnubhotla, Madhavi – Mathematics Teacher, 2017
GeoGebra is a free tool that has the potential to change both how and what is taught in mathematics. GeoGebra allows teachers and students to explore various mathematical ideas either through the full applet (https://www.geogebra.org/graphing) or by sharing applets via GeoGebra's Materials site (https://www.geogebra. org/materials/). It has many…
Descriptors: Computer Oriented Programs, Mathematics Instruction, Learner Engagement, Geometry
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Rapke, Tina – Mathematics Teacher, 2017
Many studies have claimed that traditional testing actually promotes students' use of superficial approaches to learning. When preparing to take tests, students typically memorize and cram rather than understanding the material and gaining new perspectives. This article describes how the author recast traditional tests by having students take a…
Descriptors: Mathematics Instruction, Mathematics Tests, Formative Evaluation, Summative Evaluation
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Lee, Younhee; Lim, Woong – Mathematics Teacher, 2017
Understanding how one representation connects to another and how the essential ideas in that relationship are generalized can result in a mathematical theorem or a formula. In this article, the authors demonstrate this process by connecting a vector cross product in algebraic form to a geometric representation and applying a key mathematical idea…
Descriptors: Mathematics Education, Geometric Concepts, Algebra, Mathematical Formulas
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Kirwan, J. Vince – Mathematics Teacher, 2017
Patterning tasks engage students in a core aspect of algebraic thinking-generalization (Kaput 2008). The National Council of Teachers of Mathematics (NCTM) Algebra Standard states that students in grades 9-12 should "generalize patterns using explicitly defined and recursively defined functions" (NCTM 2000, p. 296). Although educators…
Descriptors: Visualization, Mathematics Instruction, Teaching Methods, Algebra
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Wagner, Jennifer; Sharp, Janet – Mathematics Teacher, 2017
Calculus, perhaps more than other areas of mathematics, has a reputation for being steeped with procedures. In fact, through the years, it has been noticed of many students getting caught in the trap of trying to memorize algorithms and rules without developing associated concept knowledge. Specifically, students often struggle with the…
Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Concept Formation
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McGraw, Rebecca – Mathematics Teacher, 2017
The task shared in this article provides geometry students with opportunities to recall and use basic geometry vocabulary, extend their knowledge of area relationships, and create area formulas. It is characterized by reasoning and sense making (NCTM 2009) and the "Construct viable arguments and critique the reasoning of others"…
Descriptors: Mathematics Education, Geometric Concepts, Mathematical Formulas, Mathematics Skills
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McCulloch, Allison W.; Whitehead, Ashley; Lovett, Jennifer N.; Whitley, Blake – Mathematics Teacher, 2017
Context is what makes mathematical modeling tasks different from more traditional textbook word problems. Math problems are sometimes stripped of context as they are worked on. For modeling problems, however, context is important for making sense of the mathematics. The task should be brought back to its real-world context as often as possible. In…
Descriptors: Mathematics Instruction, Audio Equipment, Textbooks, Word Problems (Mathematics)
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Shriver, Janet; Willard, Teri; McDaniel, Mandy – Mathematics Teacher, 2017
In the set of fractal activities described in this article, students will accomplish much more than just creating a fun set of cards that simply resemble an art project. Goals of this activity, designed for an algebra 1 class, are to encourage students to generate data, look for and analyze patterns, and create their own models--all from a set of…
Descriptors: Mathematics Instruction, Learning Activities, Algebra, Models
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Czocher, Jennifer A.; Moss, Diana L. – Mathematics Teacher, 2017
Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…
Descriptors: Mathematical Models, Problem Solving, Mathematics Instruction, High School Students
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Siebert, Daniel K. – Mathematics Teacher, 2017
Mathematics teachers strive to prepare their students to use mathematics in powerful ways both in and out of school. However, students' ability to use certain mathematical ideas, objects, and processes depends largely on the meanings they develop for the topics they study. Some meanings are simply more beneficial and useful than others. For…
Descriptors: Mathematics Instruction, Numbers, Teaching Methods, Mathematics Teachers
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Angotti, Robin – Mathematics Teacher, 2017
This article describes Gapminder, a dynamic time-series graph that can be found at http://www.gapminder.org. Gapminder was created by a team of developers (Rosling, Ronnlund, and Rosling 2005) to create beautiful, interactive graphs of otherwise lifeless numbers. Their goal is increased use and understanding of statistics and data that…
Descriptors: Mathematics Instruction, Statistics, Visualization, Data
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Richardson, Janessa; Bachman, Rachel M. – Mathematics Teacher, 2017
This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…
Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Concepts, Mathematical Logic
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