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Tsubaki, Michiko; Ogawara, Wataru; Tanaka, Kenta – International Electronic Journal of Mathematics Education, 2020
This study proposes and examines an analytical method with the aim of improving the quality of education and learning by situating the answers to full descriptive questions in probability and statistics to make variables of learners' comprehension of learned content as answer characteristics, based on actual student mistakes. First, we proposed…
Descriptors: Probability, Statistics, Comprehension, Learning Strategies
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Manfreda Kolar, Vida; Hodnik, Tatjana – European Journal of Educational Research, 2021
The article deals with mathematical literacy in relation to mathematical knowledge and mathematical problems, and presents the Slovenian project NA-MA POTI, which aims to develop mathematical literacy at the national level, from kindergarten to secondary education. All of the topics treated represent starting points for our research, in which we…
Descriptors: Mathematics Skills, Mathematical Concepts, Multiple Literacies, Knowledge Level
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Barbieri, Christina A.; Miller-Cotto, Dana; Booth, Julie L. – Journal of the Learning Sciences, 2019
The current study examined the effectiveness of self-explanation prompts, visual signaling cues, and a combination of the two features on middle school students' (N = 202) algebra learning. Also explored were the differential effects of features for students with faulty conceptual knowledge (evidenced by a higher prevalence of making errors during…
Descriptors: Middle School Students, Algebra, Mathematics Instruction, Cues
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Abu Mokh, Rana; Othman, Ali; Shahbari, Juhaina Awawdeh – International Journal of Research in Education and Science, 2019
The aim of this study is to examine the mistakes made by students in the use of logical connectives while simplifying algebraic equations and inequalities, and the extent to which teachers are aware of these mistakes and how they assess them. The study was conducted among 50 ninth grade students and 63 practicing teachers of mathematics. The data…
Descriptors: Middle School Teachers, Grade 9, Mathematics Teachers, Error Patterns
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Leron, Uri; Ejersbo, Lisser Rye – International Journal of Mathematical Education in Science and Technology, 2021
Research in psychology and in mathematics education has documented the ubiquity of "intuition traps" -- tasks that elicit non-normative responses from most people. Researchers in cognitive psychology often view these responses negatively, as a sign of irrational behaviour. Others, notably mathematics educators, view them as necessary…
Descriptors: Mathematics Instruction, Intuition, Teaching Methods, Error Patterns
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Kalinec-Craig, Crystal; Robles, Rose Ann – Mathematics Teacher: Learning and Teaching PK-12, 2020
The article describes how one fifth-grade teacher helped her students to exercise their Rights of the Learner (e.g., to be confused; to claim a mistake; to speak, listen, and be heard; and to write, do, and represent what makes sense) as they learned to graph and interpret non-linear data.
Descriptors: Elementary School Students, Grade 5, Elementary School Teachers, Classroom Techniques
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Burch, Lori; Tillema, Erik S.; Gatza, Andrew M. – Mathematics Teacher: Learning and Teaching PK-12, 2021
As algebra teachers, the authors explore the following question in this article: "How can algebra 1, algebra 2, and precalculus teachers support students to develop algebraic reasoning and understanding of structure that can serve them in day-to-day algebraic computation?" The article shows how the algebraic identity "(a +…
Descriptors: Algebra, Mathematics Instruction, Calculus, Mathematics Teachers
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Modir, Bahar; Thompson, John D.; Sayre, Eleanor C. – Physical Review Physics Education Research, 2019
Students' difficulties in quantum mechanics may be the result of unproductive framing rather than a fundamental inability to solve the problems or misconceptions about physics content. Using the theoretical lens of epistemological framing, we applied previously developed frames to seek an underlying structure to the long lists of published…
Descriptors: Quantum Mechanics, Mechanics (Physics), Concept Formation, Misconceptions
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Vondrová, Nada; Novotná, Jarmila; Havlícková, Radka – ZDM: The International Journal on Mathematics Education, 2019
Research has shown that word problem difficulty is influenced by various linguistic, numerical and general variables, but results in this area are inconsistent. This paper focuses on the question of how the order of numerical data, the context, the position of the unknown transformation, and the length of the statement in an additive word problem,…
Descriptors: Word Problems (Mathematics), Elementary School Students, Grade 4, Grade 5
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Tabacu, Lucia M.; Watson, Silvana Maria; Chezar, Laura C.; Gable, Robert; Oliveira, Célia R.; Lopes, João – Preventing School Failure, 2020
We examined the type of errors on multiplication and division computation problems of 326 rising fifth graders enrolled in four elementary schools in Northern Portugal. We further examined whether there was a difference in the number of errors across age and whether there was an association between students' performance on number knowledge and…
Descriptors: Error Patterns, Misconceptions, Mathematics Achievement, Mathematics Instruction
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Khalid, Madihah; Embong, Zulmaryan – International Electronic Journal of Mathematics Education, 2020
This research investigated students' sources and causes of errors and misconception in solving routine problems involving addition, subtraction, multiplication, and division of integers. This qualitative study involved observation of eight Year 7 classes and interviews with the respective classroom teachers. Sixteen Year 7 students who exhibit…
Descriptors: Error Patterns, Misconceptions, Problem Solving, Addition
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Joshua, Surani; Lee, Mi Yeon – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
We investigated how pre-service teachers (PSTs) interpret their calculations in proportional tasks. A written questionnaire was administrated to 199 PSTs and an inductive content analysis approach used for data analysis. We found that one item that asked PSTs to interpret the meaning of their results had unusually low success; open coding on the…
Descriptors: Preservice Teachers, Computation, Mathematical Concepts, Mathematical Logic
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Agoestanto, Arief; Sukestiyarno, Y. L.; Isnarto; Rochmad; Lestari, M. D. – International Journal of Instruction, 2019
The purpose of this research was to describe the positions and causes of students' errors in algebraic thinking based on the cognitive style. This study was qualitative research with subject consisting of twelve students. The results showed that (1) students with Field Independent type tended to make errors at the stage of comprehension,…
Descriptors: High School Students, Cognitive Style, Secondary School Mathematics, Mathematics Education
Park, Soyoung; Bryant, Diane Pedrotty; Dougherty, Barbara – Intervention in School and Clinic, 2021
This article presents a checklist of 10 evidence-based practices for educators to apply in mathematics instruction for students with learning disabilities. The checklist is "actionable," meaning the items on the checklist can be put into action immediately. It provides practical strategies teachers can adopt to fit their lessons…
Descriptors: Mathematics Instruction, Teaching Methods, Students with Disabilities, Evidence Based Practice
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Rosli, Siddiqah; Shahrill, Masitah; Yusof, Jamilah – Journal of Technology and Science Education, 2020
The study was designed to assess the effectiveness of an alternative teaching approach strategy called the Hybrid Strategy. It was intended specifically in minimising the common errors made by students, which were Comprehension and Transformation errors, and aimed at helping students to perceive word problems as a story line to be completed using…
Descriptors: Instructional Effectiveness, Mathematics Instruction, Teaching Methods, Word Problems (Mathematics)
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