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Dorner, Christian – International Journal of Mathematical Education in Science and Technology, 2021
This paper deals with a set of geometrical problems for mathematical problem-solving at different difficulty levels. All of these are presented as national flags and one has to investigate invariant area proportions when changing the locus of any corner of the flag. This dynamic element suggests the usage of dynamical geometry environments.…
Descriptors: Problem Sets, Geometry, Mathematics Instruction, Problem Solving
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Özgen, Kemal; Aydin, Mehmet; Geçic, Mehmet Ertürk; Bayram, Baran – International Journal for Mathematics Teaching and Learning, 2019
The purpose of this study was to investigate eighth grade students' skills in different problem-posing situations. Problem-posing situations include free, semi-structured and structured problem-posing situations. The study was conducted using case study methodology, which is within the scope of descriptive research. The study was conducted with…
Descriptors: Grade 8, Problem Solving, Problem Sets, Foreign Countries
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Koichu, Boris; Harel, Guershon; Manaster, Alfred – Instructional Science: An International Journal of the Learning Sciences, 2013
Twenty-four mathematics teachers were asked to think aloud when posing a word problem whose solution could be found by computing 4/5 divided by 2/3. The data consisted of verbal protocols along with the written notes made by the subjects. The qualitative analysis of the data was focused on identifying the structures of the problems produced and…
Descriptors: Mathematics Teachers, Protocol Analysis, Word Problems (Mathematics), Qualitative Research
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Wilburne, Jane M.; Kulbacki, Ashley – Mathematics Teaching in the Middle School, 2014
This article describes how a sixth-grade teacher's "missing word" task uncovered higher-level thinking and engaged her students in the Standards for Mathematical Practice. The role and selection of the task promotes higher-level thinking and connects to the Common Core State Standards for Mathematics. The task required students to apply…
Descriptors: State Standards, Task Analysis, Learning Experience, Teaching Methods
Rohrer, Doug; Dedrick, Robert F.; Burgess, Kaleena – Grantee Submission, 2014
Most mathematics assignments consist of a group of problems requiring the same strategy. For example, a lesson on the quadratic formula is typically followed by a block of problems requiring students to use the quadratic formula, which means that students know the appropriate strategy before they read each problem. In an alternative approach,…
Descriptors: Assignments, Problem Sets, Problem Solving, Mathematical Applications
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DeJarnette, Anna F.; Dao, Jennifer N.; González, Gloriana – Mathematics Teaching in the Middle School, 2014
Many teachers have designed lessons for students who will be working in groups to discuss and solve a problem. After investing time in constructing an interesting problem, creating strategically designed groups, and introducing the problem carefully, teachers may be left wondering how to help students collaborate to make sense of mathematical…
Descriptors: Group Discussion, Middle School Students, Problem Solving, Problem Based Learning
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Van Dyke, Frances; Malloy, Elizabeth J.; Stallings, Virginia – Canadian Journal of Science, Mathematics and Technology Education, 2014
This article discusses an activity designed to encourage writing to learn in mathematics. There were three stages of data collection. An assessment, requiring basic algebra only, was completed by 118 undergraduates from statistics and calculus courses. Students were given summaries of all participant responses, along with the correct answers.…
Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Activities, Content Area Writing
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Garofalo, Joe; Trinter, Christine P. – Mathematics Teacher, 2012
By working through well-designed tasks, students can expand their thinking about mathematical ideas and their approaches to solving mathematical problems. They can come to see the value of looking at tasks from different perspectives and of using different representations. This article discusses four tasks that encourage high school students and…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Mathematical Concepts, Preservice Teacher Education
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Wilson, Frank C.; Adamson, Scott; Cox, Trey; O'Bryan, Alan – Mathematics Teacher, 2011
The mathematical topic of inverse functions is an important element of algebra courses at the high school and college levels. The inverse function concept is best understood by students when it is presented in a familiar, real-world context. In this article, the authors discuss some misconceptions about inverse functions and suggest some…
Descriptors: Misconceptions, Mathematics Instruction, Educational Strategies, Teaching Methods
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Stickles, Paula R. – Investigations in Mathematics Learning, 2011
This study identifies the kinds of problems teachers pose when they are asked to (a) generate problems from given information and (b) create new problems from ones given to them. To investigate teachers' problem posting, preservice and inservice teachers completed background questionnaires and four problem-posing instruments. Based on previous…
Descriptors: Preservice Teachers, Problem Solving, Classification, Teacher Background
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Avant, Mary Jane Thompson; Heller, Kathryn Wolff – Remedial and Special Education, 2011
One of the most fundamental math skills for students to learn is basic computational skills. Students who have difficulty learning math skills may benefit from representational approaches, such as TouchMath. A multiprobe, multiple baseline, across-participants design was used in this study to investigate the use of TouchMath with students with…
Descriptors: Learning Problems, Physical Disabilities, Mathematics Skills, Arithmetic
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Duda, Janina – International Journal for Technology in Mathematics Education, 2011
Teaching mathematics using graphic calculators has been an issue of didactic discussions for years. Finding ways in which graphic calculators can enrich the development process of creative activity in mathematically gifted students between the ages of 16-17 is the focus of this article. Research was conducted using graphic calculators with…
Descriptors: Academically Gifted, Creative Activities, Graphing Calculators, Mathematics Instruction
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What Works Clearinghouse, 2009
The "Cognitive Tutor[R] Algebra I" curriculum, published by Carnegie Learning, is an approach that combines algebra textbooks with interactive software. The software is developed around an artificial intelligence model that identifies strengths and weaknesses in each individual student's mastery of mathematical concepts. It then…
Descriptors: Textbooks, Academic Achievement, Computer Software, Artificial Intelligence
Chamberlin, Scott A. – Journal of Advanced Academics, 2010
Several decades ago, V. A. Krutetskii conducted a multiyear study to investigate the various types of thinking that academically advanced, or as he called them, gifted mathematicians used. Following an in-depth look at Krutetskii's nine ways of thinking, a model is proposed that will provide direction for teachers in selecting problems. The model…
Descriptors: Advanced Students, Mathematics Instruction, Problem Sets, Mathematical Applications
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de Oliveira, E. Capelas – International Journal of Mathematical Education in Science and Technology, 2008
We present a general formula for a triple product involving four real numbers. As a particular case, we get the sum of a triple product of four odd integers. Some interesting results are recovered. We derive a general formula for more than four odd numbers.
Descriptors: Mathematical Applications, Numbers, Number Concepts, Problem Sets
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