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Characterizing Reasoning about Fraction Arithmetic of Middle Grades Teachers in Three Latent Classes
Ölmez, Ibrahim Burak; Izsák, Andrew – Mathematical Thinking and Learning: An International Journal, 2021
We analyzed item responses provided by a nationwide sample of 990 in-service U.S. middle grades mathematics teachers to a novel survey focused on fraction arithmetic. The survey targeted four components of reasoning in terms of measured quantities: "Referent units," "Reversibility," "Partitioning and iterating," and…
Descriptors: Fractions, Arithmetic, Mathematics Instruction, Teaching Methods
Naidoo, Jayaluxmi; Hajaree, Shamilla – South African Journal of Childhood Education, 2021
Background: Within the ambit of the Fourth Industrial Revolution (4IR), the use of technology-based tools within teaching and learning is advancing rapidly at education institutions globally, including the teaching and learning of mathematics. Learners and teachers have challenges with teaching and learning fractions in mathematics. A learner's…
Descriptors: Elementary School Students, Student Attitudes, Grade 5, Video Technology
Jing Tian; David W. Braithwaite; Robert S. Siegler – Journal of Educational Psychology, 2021
This study investigated relations between the distribution of practice problems in textbooks and students' learning of decimal arithmetic. In Study 1, we analyzed the distributions of decimal arithmetic practice problems that appeared in 3 leading math textbook series in the United States. Similar imbalances in the relative frequencies of decimal…
Descriptors: Textbooks, Mathematics Instruction, Arithmetic, Problem Solving
Baker, Katherine; Jessup, Naomi A.; Jacobs, Victoria R.; Empson, Susan B.; Case, Joan – Mathematics Teacher: Learning and Teaching PK-12, 2020
Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.
Descriptors: Mathematics Instruction, Problem Solving, Teaching Methods, Student Problems
Morano, Stephanie; Riccomini, Paul J. – Teacher Education and Special Education, 2020
To provide effective fractions instruction, teachers need deep understanding of fraction concepts (i.e., content knowledge) and skill in using visual representations of fractions to support student learning (i.e., pedagogical content knowledge); yet, research indicates that many pre- and in-service teachers lack knowledge in both areas. The…
Descriptors: Preservice Teachers, Mathematics Instruction, Pedagogical Content Knowledge, Fractions
Kaminski, Jennifer A.; Sloutsky, Vladimir M. – International Journal of STEM Education, 2020
There is anecdotal evidence that many elementary teachers integrate mathematics lessons and art activities by having students first make colorful, rich material that is subsequently used in an instructional activity. However, it is unclear whether such activities effectively promote learning and transfer of mathematical concepts. The goal of the…
Descriptors: Elementary School Mathematics, Mathematics Instruction, Integrated Activities, Art Education
Wahyu, Kamirsyah; Kuzu, Taha Ertugrul; Subarinah, Sri; Ratnasari, Dwi; Mahfudy, Sofyan – Journal on Mathematics Education, 2020
Students show deficient understanding on fraction division and supporting that understanding remains a challenge for mathematics educators. This article aims to describe primary students' understanding of partitive fraction division (PFD) and explore ways to support their understanding through the use of sequenced fractions and context-related…
Descriptors: Mathematics Instruction, Elementary School Students, Division, Fractions
Sangmi Park – ProQuest LLC, 2023
A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…
Descriptors: Numeracy, Mathematics Instruction, Mathematics Achievement, Mathematics Anxiety
Morris, Emily; Bossé, Michael J.; Sevier, John – International Journal for Mathematics Teaching and Learning, 2022
Students enrolled in post-secondary developmental mathematics courses hold mathematical misunderstandings that begin before their college careers. Specifically, these students struggle with conceptual understanding of fractions, ratios, and proportions. The Common Core State Standards in Mathematics outline standards for K-12 mathematics…
Descriptors: College Students, Developmental Studies Programs, Remedial Mathematics, Misconceptions
Elizabeth Pruitt – ProQuest LLC, 2022
When designing professional development for math teachers, teacher confidence, math anxiety, and student performance are factors to consider. St. Lucie Public Schools in Florida has seen a decline in performance in fifth-grade mathematics, where students are first asked to showcase their knowledge on operations for fractions. As a curriculum…
Descriptors: Mathematics Anxiety, Mathematics Achievement, Pedagogical Content Knowledge, Faculty Development
Bentley, Brianna; Bossé, Michael J. – International Electronic Journal of Mathematics Education, 2018
This study investigates college students' understanding of arithmetic fraction operations as defined by the Common Core State Standards in grades three through six Mathematics. This study is meant to extend upon an extensive body of research regarding elementary and middle grades students' understanding of fraction operations and see if recognized…
Descriptors: College Students, Mathematics Skills, Fractions, Arithmetic
Izsák, Andrew; Beckmann, Sybilla; Kulow, Torrey – Mathematics Teaching in the Middle School, 2018
This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Common factors, common multiples, strip diagrams, and double number lines are discussed in this, the third installment in the series. [For the second installment in this series see "Connecting the Dots: Building…
Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, Middle School Students
Losinski, Mickey; Ennis, Robin Parks; Shaw, Ashley – Behavioral Disorders, 2021
This article provides results from a study examining the impact of a self-regulated strategy development (SRSD) intervention on the fraction calculations of three Grade 5 male students with or at-risk for emotional or behavioral disorders using a multiple-baseline across students, single-case design. The teacher-led SRSD Fractions intervention…
Descriptors: Fractions, Computation, At Risk Students, Males
Erin G. Edgington – ProQuest LLC, 2021
This qualitative semi-structured interview study investigated how the opportunity to learn with productive struggle emerges in a teacher's beliefs, anticipation, planning, teaching, and response to struggle in learning mathematics. In this study, the experiences of student struggle in the teaching and learning of fractions was investigated through…
Descriptors: Grade 5, Grade 6, Fractions, Mathematics Instruction
Hwang, Jiwon; Riccomini, Paul J. – British Journal of Special Education, 2019
Developing an understanding of fractions is critical, as it is the first connection of whole-number properties to rational numbers within a single framework. The unique properties of fractions necessitate solution processes that are distinctive and often more complicated than whole-number processes, resulting in many students struggling with…
Descriptors: Accuracy, Learning Disabilities, Fractions, Mathematics Instruction