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Tsamir, Pessia; Tirosh, Dina – International Journal of Science and Mathematics Education, 2023
This paper aims to broaden the scope of the construct concept image by addressing the mathematically oriented notion of "solution of an algebraic equation." The notion solution of an algebraic equation is not mathematical per se, but it is most prevalent in mathematical communications and in mathematics education. The paper describes…
Descriptors: Problem Solving, Algebra, Equations (Mathematics), Mathematics Education
Soneira, Carlos – International Journal of Science and Mathematics Education, 2022
In this article, we examine how 10th graders make use of different intertwined representations when solving algebraic word problems. It is structured in a quantitative phase, with 61 students and a subsequent follow-up case study with nine pairs of students. We found that drawings and tables, used as auxiliary representations within variants of…
Descriptors: Problem Solving, Word Problems (Mathematics), Algebra, Error Patterns
Kenney, Rachael; An, Tuyin; Kim, Sung-Hee; Uhan, Nelson A.; Yi, Ji Soo; Shamsul, Aiman – International Journal of Science and Mathematics Education, 2020
In linear programming, many students find it difficult to translate a verbal description of a problem into a valid mathematical model. To better understand this, we examine the existing characteristics of college engineering students' errors across linear programming (LP) problems. We examined textbooks to identify the types of problems typically…
Descriptors: Programming, Error Patterns, Engineering Education, Word Problems (Mathematics)
Hu, Qintong; Son, Ji-Won; Hodge, Lynn – International Journal of Science and Mathematics Education, 2022
To improve students' mathematics achievement, their errors should be treated as an opportunity to stimulate conceptual and procedural understanding. Using a teaching scenario, this study investigated 40 high school teachers' analyses of and responses to a student error(s) in solving a quadratic equation by using the factoring method. The teachers'…
Descriptors: Mathematics Teachers, High School Teachers, High School Students, Secondary School Mathematics
Tan Sisman, Gulcin; Aksu, Meral – International Journal of Science and Mathematics Education, 2016
The purpose of the present study was to portray students' misconceptions and errors while solving conceptually and procedurally oriented tasks involving length, area, and volume measurement. The data were collected from 445 sixth grade students attending public primary schools in Ankara, Türkiye via a test composed of 16 constructed-response…
Descriptors: Grade 6, Misconceptions, Mathematical Concepts, Error Patterns