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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
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Winer, Michael L.; Battista, Michael T. – International Electronic Journal of Mathematics Education, 2022
Constructing formal geometry proofs in is an important topic in the mathematics curriculum. But students' difficulties with proof are well documented. This article focuses on proofs that use triangle congruence postulates in US high school geometry. Examining students' proof reasoning in one-on-one task-based interviews, we analyzed students' oral…
Descriptors: Geometry, Mathematics Instruction, Validity, Mathematical Logic
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Özel, Zeynep; Isiksal-Bostan, Mine; Tekin-Sitrava, Reyhan – International Journal for Mathematics Teaching and Learning, 2022
This qualitative case study aimed to investigate prospective middle school mathematics teachers' instructional responses based on the students' correct and incorrect functional thinking within the context of pattern generalization. The data were collected from thirty-two prospective teachers through a written task and semi-structured interviews…
Descriptors: Preservice Teachers, Middle School Teachers, Mathematics Teachers, Responses
Heather C. Hill; Virginia S. Lovison – Annenberg Institute for School Reform at Brown University, 2022
In recent decades, U.S. education leaders have advocated for more intellectually ambitious mathematics instruction in classrooms. Evidence about whether more ambitious mathematics instruction has filtered into contemporary classrooms, however, is largely anecdotal. To address this issue, we analyzed 93 lessons recorded by a national random sample…
Descriptors: Mathematics Instruction, Middle School Students, Middle School Teachers, Mathematics Teachers
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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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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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Zhang, Dake; Stecker, Pamela; Beqiri, Klesti – Learning Disability Quarterly, 2017
We examined faulty strategies with possible underlying misconceptions, as well as execution mistakes, among middle schoolers with and without mathematics disabilities when estimating fractions on number lines. Fifty-one middle schoolers participated in this study, including 27 students with mathematics disabilities. Participants were asked to…
Descriptors: Learning Disabilities, Mathematics Skills, Middle School Students, Computation
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Subanji; Nusantara, Toto – International Education Studies, 2016
This article aims at studying pseudo construction of student thinking in mathematical concepts, integer number operation, algebraic forms, area concepts, and triangle concepts. 391 junior high school students from four districts of East Java Province Indonesia were taken as the subjects. Data were collected by means of distributing the main…
Descriptors: Foreign Countries, Junior High School Students, Secondary School Mathematics, Mathematical Concepts
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Gómez, David M.; Jiménez, Abelino; Bobadilla, Roberto; Reyes, Cristián; Dartnell, Pablo – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The application to rational numbers of the procedures and intuitions proper of natural numbers is known as Natural Number Bias. Research on the cognitive foundations of this bias suggests that it stems not from a lack of understanding of rational numbers, but from the way the human mind represents them. In this work, we presented a fraction…
Descriptors: Fractions, Mathematics Instruction, Grade 5, Grade 6
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Lim, Kien H. – Mathematics Teaching in the Middle School, 2014
Student errors are springboards for analyzing, reasoning, and justifying. The mathematics education community recognizes the value of student errors, noting that "mistakes are seen not as dead ends but rather as potential avenues for learning." To induce specific errors and help students learn, choose tasks that might produce mistakes.…
Descriptors: Secondary School Mathematics, Middle School Students, Error Patterns, Error Correction
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Star, Jon R.; Foegen, Anne; Larson, Matthew R.; McCallum, William G.; Porath, Jane; Zbiek, Rose Mary; Caronongan, Pia; Furgeson, Joshua,; Keating, Betsy; Lyskawa, Julia – What Works Clearinghouse, 2015
Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students". The methods and examples included in…
Descriptors: Algebra, Mathematics Instruction, Secondary School Mathematics, Teaching Methods
Retnowati, Endah, Ed.; Suprapto, Ed.; Jerusalem, Mohammad Adam, Ed.; Sugiyarto, Kristian, Ed.; Wagiran, Ed. – Routledge, Taylor & Francis Group, 2018
This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…
Descriptors: Educational Innovation, Knowledge Level, Skill Development, Vocational Education
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Egodawatte, Gunawardena – Acta Didactica Napocensia, 2009
Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…
Descriptors: Algebra, Mathematics Skills, High School Students, Secondary School Mathematics