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Rafael Ramírez; Bárbara M. Brizuela; Maria Blanton – Canadian Journal of Science, Mathematics and Technology Education, 2024
In this article, we present research on eight kindergarten and eight first-grade students' understandings of the arithmetic properties of commutativity, additive identity, and additive inverse during a classroom teaching experiment, selected from a larger study that included 88 students. In this study, we explore the students' types of…
Descriptors: Kindergarten, Young Children, Elementary School Students, Grade 1
Xu, Chang; LeFevre, Jo-Anne; Skwarchuk, Sheri-Lynn; Di Lonardo Burr, Sabrina; Lafay, Anne; Wylie, Judith; Osana, Helena P.; Douglas, Heather; Maloney, Erin A.; Simms, Victoria – Developmental Psychology, 2021
In the present research, we provide empirical evidence for the process of symbolic integration of number associations, focusing on the development of simple addition (e.g., 5 + 3 = 8), subtraction (e.g., 5 - 3 = 2), and multiplication (e.g., 5 × 3 = 15). Canadian children were assessed twice, in Grade 2 and Grade 3 (N = 244; 55% girls). All…
Descriptors: Foreign Countries, Arithmetic, Mathematics Skills, Age Differences
Wessman-Enzinger, Nicole M.; Tobias, Jennifer; Olanoff, Dana – Investigations in Mathematics Learning, 2020
Writing and evaluating contextual problems is an important task in the work of teaching, and thus is part of the knowledge that prospective teachers must develop. In dealing with word problems posed both by children and themselves, prospective teachers will need to attend to the realism of the context and the consistency between the operation and…
Descriptors: Preservice Teachers, Mathematics Instruction, Addition, Word Problems (Mathematics)
Almeida, Rut; Bruno, Alicia – International Journal of Mathematical Education in Science and Technology, 2014
This paper analyses the strategies used by pre-service primary school teachers for solving simple addition problems involving negative numbers. The findings reveal six different strategies that depend on the difficulty of the problem and, in particular, on the unknown quantity. We note that students use negative numbers in those problems they find…
Descriptors: Preservice Teachers, Elementary School Teachers, Problem Solving, Elementary School Mathematics
Dixon, Juli K.; Tobias, Jennifer M. – Mathematics Teaching in the Middle School, 2013
What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…
Descriptors: Computation, Arithmetic, Preservice Teacher Education, Preservice Teachers
Chen, Jen-Jen; Brenner, Mary E. – 1998
One of the major goals in mathematics education is to teach the ability to solve word problems. This study compared the word problem solving abilities of second-grade students from Taiwan (N=24) with those of American students (N=24). Two tests were used in the problem solving interviews. The comparisons between the performance of the groups on…
Descriptors: Addition, Arithmetic, Comparative Education, Cross Cultural Studies
Engelbrecht, Nancy; And Others – 1990
This module is the third in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include calculator addition, adding measurements of…
Descriptors: Addition, Arithmetic, Calculators, Community Colleges
Bebout, Harriett C. – 1993
A traditional view of mathematics learning suggests that basic fact knowledge provides a cornerstone for success in problem solving. But possibly, for some children, automated basic fact responses may be disadvantageous for their problem solving success. The purpose of this study was to investigate the relationship between basic fact knowledge and…
Descriptors: Addition, Black Students, Correlation, Elementary School Mathematics
Buchanan, Anne E.; Romberg, Thomas A. – 1982
As part of a 3-year study of arithmetic problem-solving skills in young children, pretests were administered to 180 middle class first grade students. Following each of three instructional units, another achievement test was administered. The three first grade units corresponded to the Developing Mathematical Processes curriculum and involved…
Descriptors: Addition, Data Collection, Educational Objectives, Elementary School Mathematics
Buchanan, Anne E.; Romberg, Thomas A. – 1982
This paper is the second of a series of four reports that document the achievement monitoring component of a three-year study on the acquisition of addition-subtraction problem-solving skills by young children. A set of performance objectives contained in or ancillary to 10 instructional units on sentence-writing for verbal problems and algorithms…
Descriptors: Addition, Behavioral Objectives, Cognitive Ability, Data Collection