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Herman Tshesane; Hamsa Venkat – African Journal of Research in Mathematics, Science and Technology Education, 2023
Evidence in South Africa of poor performance on word problems points to particular challenges among learners relating to difficulties with, on the one hand, making sense of mathematical word problems and, on the other, moving beyond inefficient counting based calculation methods. While many studies in mathematics education in South Africa have…
Descriptors: Foreign Countries, Word Problems (Mathematics), Problem Solving, Mathematics Instruction
Vig, Rozy; Murray, Eileen; Star, Jon R. – Educational Psychology Review, 2014
Current curriculum initiatives (e.g., National Governors Association Center for Best Practices and Council of Chief State School Officers 2010) advocate that models be used in the mathematics classroom. However, despite their apparent promise, there comes a point when models break, a point in the mathematical problem space where the model cannot,…
Descriptors: Mathematical Models, Mathematics Instruction, Numbers, Subtraction
Khosroshahi, Leyla G.; Asghari, Amir H. – Australian Primary Mathematics Classroom, 2016
There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…
Descriptors: Arithmetic, Addition, Subtraction, Problem Solving
Polotskaia, Elena; Savard, Annie; Freiman, Viktor – EURASIA Journal of Mathematics, Science & Technology Education, 2015
This essay proposes a reflection on the learning difficulties and teaching approaches associated with arithmetic word problem solving. We question the development of word problem solving skills in the early grades of elementary school. We are trying to revive the discussion because first, the knowledge in question--reversibility of arithmetic…
Descriptors: Mathematics Instruction, Word Problems (Mathematics), Mathematical Logic, Elementary School 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
Fritz-Stratmann, Annemarie; Ehlert, Antje; Klüsener, Gabriele – South African Journal of Childhood Education, 2014
This paper argues for teaching pre-service teachers about remediation strategies for learners who encounter problems in mathematics in the early grades. The premise is that all teachers should be equipped with theory-based practical knowledge to support learning. A few teaching sessions to develop the concepts that underlie the mathematical…
Descriptors: Mathematics, Mathematics Instruction, Teaching Methods, Mathematical Concepts
What Works Clearinghouse, 2014
The 2011 study, "Benefits of Practicing 4 = 2 + 2: Nontraditional Problem Formats Facilitate Children's Understanding of Mathematical Equivalence," examined the effects of addition practice using nontraditional problem formats on students' understanding of mathematical equivalence. In nontraditional problem formats, operations appear on…
Descriptors: Mathematics Instruction, Elementary School Students, Addition, Teaching Methods
Miller, Kelli C.; Skinner, Christopher H.; Gibby, Lana; Galyon, Charles E.; Meadows-Allen, Sadonya – Journal of Behavioral Education, 2011
A multiple-baseline design across math-fact sets was used to evaluate the effects of a taped-problems intervention on students' performance with addition facts and their inverses in an intact, rural, second-grade classroom. Results suggested that the procedure was effective in improving fluency on math facts as well as their inverses. Across 3…
Descriptors: Generalization, Problem Sets, Elementary School Mathematics, Mathematics Achievement
Miller, Susan P.; Kaffar, Bradley J. – Investigations in Mathematics Learning, 2011
The purpose of this study was to investigate the effectiveness of using the concrete-representational-abstract (CRA) teaching sequence with integrated strategy instruction for developing addition with regrouping competence among students with learning difficulties in mathematics. A total of 16 lessons were provided to 24 students during a six-week…
Descriptors: Instructional Effectiveness, Teaching Methods, Addition, Mathematics Instruction
Mesa, Vilma – MathAMATYC Educator, 2010
Textbooks, like many other resources teachers have at hand, are meant to be an aid for instruction; however there is little research with textbooks or on their potential to develop metacognitive knowledge. Metacognitive knowledge has received substantial attention in the literature, in particular for its relationship with problem-solving in…
Descriptors: Mathematics Education, Textbooks, Metacognition, Problem Solving
Vendlinski, Terry P.; Chung, Greg K. W. K.; Binning, Kevin R.; Buschang, Rebecca E. – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2011
Understanding the meaning of rational numbers and how to perform mathematical operations with those numbers seems to be a perennial problem in the United States for both adults and children. Based on previous work, we hypothesized that giving students more time to practice using rational numbers in an environment that enticed them to apply their…
Descriptors: Feedback (Response), Intervention, Educational Research, Video Games

Axelrod, Saul; And Others – Journal of Special Education Technology, 1987
Four 2nd-grade students completed addition problems on a computer, using video games as reinforcers. Two variable ratio schedules of reinforcement failed to increase student accuracy or the rate of correct responses. In a no-games reinforcement condition, students had more opportunities to respond and had a greater number of correct answers.…
Descriptors: Academic Achievement, Addition, Computer Assisted Instruction, Grade 2

Mayer, Richard E.; And Others – American Educational Research Journal, 1995
This brief report compares the lessons on addition and subtraction of signed whole numbers in three seventh-grade Japanese mathematics texts and four U.S. mathematics texts. Japanese books contained many more worked-out examples and relevant illustrations, while U.S. books had more irrelevant illustrations and unsolved problems. (SLD)
Descriptors: Addition, Comparative Analysis, Foreign Countries, Grade 7
Woodward, John; Gersten, Russell – 1992
This report describes TORUS, a computer-based program for elementary school students with learning disabilities which analyzes student work samples in addition and subtraction and provides individual profiles of student misconceptions and weaknesses. Initially, work samples from 236 middle school students with learning disabilities were analyzed…
Descriptors: Addition, Computer Managed Instruction, Computer Software, Construct Validity