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Mikio Miyazaki; Taro Fujita; Koji Iwata; Keith Jones – International Journal of Mathematical Education in Science and Technology, 2024
This study focused on improving students' learning mathematical of proofs and proving by using combinations of proof strategies that span different levels of understanding of proof structure; we refer to these as 'level-spanning proof-production strategies'. We analysed the level-specific proof-production strategies evident in the lessons and…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
Tekin-Sitrava, Reyhan – International Journal for Mathematics Teaching and Learning, 2020
Although students' nonstandard strategies have great importance in understanding students' thinking and creating effective mathematics classrooms, much remains unexplored in the literature. This study investigated 22 middle school teachers' reasoning about a student's nonstandard strategy for the division of fractions. The data were collected…
Descriptors: Middle School Mathematics, Mathematics Teachers, Teacher Attitudes, Division
Sari, Delsika Pramata; Darhim – Journal on Mathematics Education, 2020
The purpose of this study was to describe how to implement the REACT [Relating, Experiencing, Applying, Cooperating and Transferring] strategy to develop students' mathematical representation, reasoning, and disposition ability. This research was a descriptive study with a qualitative approach. The subject of this study was grade 8 junior high…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Logic, Mathematics Skills
Wickstrom, Megan H.; Fulton, Elizabeth; Lackey, Dacia – Mathematics Teaching in the Middle School, 2019
The fifth-grade curriculum presents many opportunities to use students' prior mathematical knowledge as a way to bridge new and more difficult mathematical ideas. In this article, the authors document an area tiling task given to fifth-grade students to connect aspects of area measurement covered in earlier grades to grade-level standards such as:…
Descriptors: Mathematics Instruction, Manipulative Materials, Elementary School Mathematics, Grade 5
Kikas, Eve; Mädamürk, Kaja; Palu, Anu – British Journal of Educational Psychology, 2020
Background: Math is a difficult subject with which many upper middle-school students struggle. In addition to knowledge, skills, and motivation, effective learning strategies play an important role in learning math. Aims: This study aimed to examine the effects of comprehension-oriented learning strategies (perceptual and abstract grouping of…
Descriptors: Mathematics Instruction, Middle School Students, Comprehension, Learning Strategies
Kiuhara, Sharlene A.; Gillespie Rouse, Amy; Dai, Ting; Witzel, Bradley S.; Morphy, Paul; Unker, Becky – Journal of Educational Psychology, 2020
Making sense of fractions is critical for building the mathematical competence of upper elementary students with and at-risk for a mathematics learning disability. The primary aim of this study was to investigate the effectiveness of teaching students with and at-risk for learning disabilities an intervention in which they learned to construct…
Descriptors: Persuasive Discourse, Mathematics Skills, Knowledge Level, Fractions
de la Cruz, Jessica A.; Garney, Sandra – Mathematics Teaching in the Middle School, 2016
It is beneficial for students to discover intuitive strategies, as opposed to the teacher presenting strategies to them. Certain proportional reasoning tasks are more likely to elicit intuitive strategies than other tasks. The strategies that students are apt to use when approaching a task, as well as the likelihood of a student's success or…
Descriptors: Mathematics Instruction, Mathematical Logic, Teaching Methods, Learning Strategies
Cullen, Amanda L.; Tobias, Jennifer M.; Safak, Elif; Kirwan, J. Vince; Wessman-Enzinger, Nicole M.; Wickstrom, Megan H.; Baek, Jae M. – International Journal for Mathematics Teaching and Learning, 2017
Previous research on preservice teachers' understanding of fractions and algebra has focused on one or the other. To extend this research, we examined 85 undergraduate elementary education majors and middle school mathematics education majors' solutions and solution paths (i.e., the ways or methods in which preservice teachers solve word problems)…
Descriptors: Preservice Teachers, Student Teacher Attitudes, Undergraduate Students, Elementary School Teachers
Riehl, Suzanne M.; Steinthorsdottir, Olof Bjorg – Mathematics Teaching in the Middle School, 2014
Ratio, rate, and proportion are central ideas in the Common Core State Standards (CCSS) for middle-grades mathematics (CCSSI 2010). These ideas closely connect to themes in earlier grades (pattern building, multiplicative reasoning, rational number concepts) and are the foundation for understanding linear functions as well as many high school…
Descriptors: Mathematics Instruction, Middle School Students, Secondary School Mathematics, Mathematical Concepts
Leitze, Annette Ricks; Soots, Kristen L. – Mathematics Teaching in the Middle School, 2015
Teachers across all grade levels agree that problem solving and reasoning are areas of weakness in students. Assessments among U.S. students indicate that these weaknesses persist (NCTM 2014) in spite of repeated calls that date back more than thirty years for increased problem solving, reasoning, and sense making in our schools. The NCTM is…
Descriptors: Mathematics Instruction, Mathematics Skills, Problem Solving, Mathematical Logic
Kastberg, Signe E.; D'Ambrosio, Beatriz S.; Lynch-Davis, Kathleen; Mintos, Alexia; Krawczyk, Kathryn – Mathematics Teaching in the Middle School, 2013
A renewed emphasis was placed on ratio and proportional reasoning in the middle grades in the Common Core State Standards for Mathematics (CCSSM). The expectation for students includes the ability to not only compute and then compare and interpret the results of computations in context but also interpret ratios and proportions as they are…
Descriptors: Mathematics Instruction, Middle School Teachers, Secondary School Mathematics, Graphs
Flores, Alfinio; Priewe, Melina D. – Mathematics Teaching in the Middle School, 2013
This article describes how teachers address issues and tensions that students meet in learning division of fractions. First, students must make sense of division of fractions on their own by working individually and in small groups, using concrete or pictorial representations, inventing their own processes, and presenting and justifying their…
Descriptors: Arithmetic, Middle School Students, Thinking Skills, Problem Solving
Aming-Attai, Rachael – ProQuest LLC, 2012
Recent reform efforts in mathematics education call for the development of early algebraic reasoning, and for the provision of rich mathematical experiences for all students. In spite of such emphasis, many elementary school students, especially those with mathematical learning disabilities (MLD), often experience great difficulty in early algebra…
Descriptors: Learning Disabilities, Elementary School Mathematics, Elementary School Students, Grade 6
Wilburne, Jane M.; Wildmann, Tara; Morret, Michael; Stipanovic, Julie – Mathematics Teaching in the Middle School, 2014
Three mid-level mathematics teachers (grades 7 and 8) and a university mathematics educator formed a year-long professional learning community. The objective was to collectively look at how they were promoting the Standards for Mathematical Practice (SMP) (CCSSI 2010) in their classes. The monthly discussions followed an iterative cycle in which…
Descriptors: Mathematics Teachers, Middle School Teachers, Grade 7, Grade 8
El Mouhayar, Rabih; Jurdak, Murad – International Journal of Mathematical Education in Science and Technology, 2015
This paper explored variation of strategy use in pattern generalization across different generalization types and across grade level. A test was designed to assess students' strategy use in pattern generalization tasks. The test was given to a sample of 1232 students from grades 4 to 11 from five schools in Lebanon. The findings of this study…
Descriptors: Teaching Methods, Generalization, Elementary School Students, Secondary School Students
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