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Luz, Yael; Yerushalmy, Michal – Journal for Research in Mathematics Education, 2023
We report on an innovative design of algorithmic analysis that supports automatic online assessment of students' exploration of geometry propositions in a dynamic geometry environment. We hypothesized that difficulties with and misuse of terms or logic in conjectures are rooted in the early exploration stages of inquiry. We developed a generic…
Descriptors: Algorithms, Computer Assisted Testing, Geometry, Mathematics Instruction

Vinner, Shlomo; And Others – Journal for Research in Mathematics Education, 1981
Common mistakes pupils make when adding fractions are categorized and analyzed. (MP)
Descriptors: Algorithms, Cognitive Processes, Error Patterns, Fractions
Exploring the Origins, Uses, and Interactions of Student Intuitions: Comparing the Lengths of Paths.

Chiu, Ming Ming – Journal for Research in Mathematics Education, 1996
Sixteen middle school students ranked the lengths of various paths in problem-solving interviews. Every student invoked at least one of four intuitions that originated from their everyday experiences: compression, detour, complexity, and straightness. Students continued to use their inadequate intuitions in the posttest before applying learned…
Descriptors: Algorithms, Interviews, Intuition, Junior High Schools

Carraher, Terezinha Nunes; Schliemann, Analucia Dias – Journal for Research in Mathematics Education, 1985
Fifty Brazilian children aged seven-13 were individually given addition and subtraction exercises. Counting was the preferred procedure, with use of school-taught algorithms limited. Some children decomposed numbers into tens and units and then worked at both levels. They rarely referred to previous results when doing related exercises. (MNS)
Descriptors: Addition, Algorithms, Cognitive Processes, Educational Research

Hector, Judith H.; Frandsen, Henry – Journal for Research in Mathematics Education, 1981
Results of this study indicated calculator algorithms can serve as an effective alternative instructional strategy where computational skill is an instructional goal. (MP)
Descriptors: Algorithms, Basic Skills, Calculators, College Mathematics

Carraher, Terezinha Nunes; And Others – Journal for Research in Mathematics Education, 1987
Sixteen Brazilian third graders aged 8-13 were given problems involving multidigit computation. School-taught algorithms were likely to be used in school-taught problems, with little carry-over to real problem situations, but resulted in more incorrect answers. (MNS)
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research

Carrier, Carol; And Others – Journal for Research in Mathematics Education, 1985
Students from six fourth-grade classes were paired and randomly assigned to computer or worksheet treatments on multiplication and division. Those using computer-based drill-and-practice programs made greater gains on some tests of basic facts, but had no higher retention of algorithms. (MNS)
Descriptors: Algorithms, Computation, Computer Assisted Instruction, Division

Reys, Robert E.; And Others – Journal for Research in Mathematics Education, 1991
Computational strategies and estimating abilities of 466 Japanese students were tested and interviews with a subsample of that group were used to compare with a theoretical model based on a sample from the United States. Results of the comparison of computational and estimating abilities are presented. (CW)
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Cognitive Style

Blando, John A.; And Others – Journal for Research in Mathematics Education, 1989
Seventh-grade students were tested to uncover arithmetic errors. Answers and intermediate steps were analyzed and models to represent students' behavior were developed. Certain errors were common across students. Others were tied to the format of the test item. Some superficial understandings of mathematical concepts were exposed. (Author/DC)
Descriptors: Algorithms, Arithmetic, Computation, Error Patterns