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Ibrahim Burak Ölmez; Andrew Izsák – Journal of Mathematics Teacher Education, 2024
In prior work, we fit the mixture Rasch model to item responses from a fractions survey administered to a nationwide sample of middle grades mathematics teachers in the United States. The mixture Rasch model located teachers on a continuous, unidimensional scale and fit best with 3 latent classes. We used item response data to generate initial…
Descriptors: Fractions, Mathematics Teachers, Mathematical Logic, Arithmetic
Brandon McMillan – Investigations in Mathematics Learning, 2025
Mathematical coherence is a goal within the Common Core State Standards for Mathematics. One aspect of this coherence is how student mathematical thinking is developed across concepts. Unfortunately, mathematics is often taught as isolated ideas across grades. The multiplicative field is an area of study that needs to be examined as a space to…
Descriptors: Mathematics Skills, Thinking Skills, Mathematical Logic, Multiplication
Doruk, Muhammet; Doruk, Gül – International Journal of Mathematical Education in Science and Technology, 2022
The aim of this study was to reveal 5th class middle school students' determination skills on the truth value of mathematical propositions about multiplication and division. These skills were evaluated in the context of operation meanings preferred and arguments constructed by the students in the process. The research group consisted of 95…
Descriptors: Mathematical Logic, Mathematics Skills, Evaluative Thinking, Persuasive Discourse
Nicholas Shaver; Anna DeJarnette – The Mathematics Educator, 2024
This study was guided by the question, how do we understand the multiplicative reasoning of upper high school students and use that to give insight to their performance on a standardized test? After administering a partial ACT assessment to a class of high school students, we identified students to make comparisons between low and high scoring…
Descriptors: High School Students, Mathematical Logic, Standardized Tests, Scores
Melhuish, Kathleen; Czocher, Jennifer A. – For the Learning of Mathematics, 2020
Within a study of student reasoning in abstract algebra, we encountered the claim "division and multiplication are the same operation." What might prompt a student to make this claim? What kind of influence might believing it have on their mathematical development? We explored the philosophical roots of "sameness" claims to…
Descriptors: Mathematics Instruction, Elementary Secondary Education, Algebra, Multiplication
Yavuzsoy Kose, Nilufer; Kiziltoprak, Ayhan – Eurasian Journal of Educational Research, 2020
Purpose: Since there are a limited number of studies on how to develop relational thinking in secondary school students in mathematics education literature, this study will contribute to the field both in theoretical terms and concerning the implications for in-class applications. In this respect, this study aims to examine how to develop the…
Descriptors: Secondary School Students, Thinking Skills, Skill Development, Video Technology
Hurst, Chris; Hurrell, Derek – Australian Primary Mathematics Classroom, 2018
This is the first of two articles on the use of a written multiplication algorithm and the mathematics that underpins it. In this first article, the authors present a brief overview of research by mathematics educators and then provide a small selection of some of the many student work samples they have collected during their research into…
Descriptors: Mathematics Instruction, Multiplication, Elementary School Mathematics, Division
Izsák, Andrew; Kulow, Torrey; Beckmann, Sybilla; Stevenson, Dean; Ölmez, Ibrahim Burak – Mathematics Teacher Educator, 2019
We report results from a mathematics content course intended to help future teachers form a coherent perspective on topics related to multiplication, including whole-number multiplication and division, fraction arithmetic, proportional relationships, and linear functions. We used one meaning of multiplication, based in measurement and expressed as…
Descriptors: Mathematics Instruction, Multiplication, Division, Mathematical Concepts
LaRochelle, Raymond; Lamb, Lisa; Nickerson, Susan – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
An important decision that professional development (PD) facilitators must make when preparing for activities with teachers is to select an appropriate tool for the intended learning goals of the PD (Sztajn, Borko, & Smith, 2017). One important and prevalent tool is artifacts of student thinking (e.g. Jacobs & Philipp, 2004). In this paper…
Descriptors: Faculty Development, Secondary School Teachers, Cognitive Processes, Mathematics Teachers
Short, N. J. – 1971
This form rates childrens' grasp of basic mathematical concepts and procedures. See TM 001 111 for details of the program in which it is used. (DLG)
Descriptors: Addition, Cognitive Development, Division, Elementary School Mathematics
Talton, Carolyn F.; Francis, Azalia S. – 1987
Thinking Approach to Problem Solving (TAPS) is a decision-making model that will assist students, kindergarten through grade eight, to decide on the choice of operation in routine mathematical word problems. The TAPS algorithm, or plan, suggests that students read a word problem, determine the question to be answered in the problem, use concrete…
Descriptors: Addition, Division, Elementary Education, Elementary School Mathematics
CEMREL, Inc., St. Ann, MO. – 1978
This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…
Descriptors: Arithmetic, Curriculum Guides, Decimal Fractions, Division
CEMREL, Inc., St. Ann, MO. – 1976
This guide represents the final experimental version of an extended pilot project which was conducted in the United States between 1973 and 1976. The manner of presentation and pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams")…
Descriptors: Curriculum Development, Curriculum Guides, Division, Elementary School Mathematics
CEMREL, Inc., St. Ann, MO. – 1978
This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…
Descriptors: Algorithms, Arithmetic, Curriculum Guides, Division
CEMREL, Inc., St. Ann, MO. – 1977
This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…
Descriptors: Addition, Arithmetic, Curriculum Guides, Decimal Fractions
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