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Showing 1 to 15 of 31 results Save | Export
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Ngo, Vy; Perez Lacera, Luisa; Closser, Avery Harrison; Ottmar, Erin – Journal of Numerical Cognition, 2023
For students to advance beyond arithmetic, they must learn how to attend to the structure of math notation. This process can be challenging due to students' left-to-right computing tendencies. Brackets are used in mathematics to indicate precedence but can also be used as superfluous cues and perceptual grouping mechanisms in instructional…
Descriptors: Mathematics Skills, Arithmetic, Symbols (Mathematics), Computation
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Alves, Francisco Regis Vieira; Barros, Francisco Evamar – Acta Didactica Napocensia, 2019
The study and interest of figurate numbers can be observed even in ancient Greece. On the other hand, it becomes very important the historical understanding about an evolutionary process and the particular generalization of such 2D, 3D and m-D figurate numbers and they remain the interest of current scientific investigations. On the other hand, in…
Descriptors: Mathematics Instruction, Visualization, Educational Technology, Computer Software
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Rafferty, Anna N.; Jansen, Rachel A.; Griffiths, Thomas L. – Cognitive Science, 2020
Online educational technologies offer opportunities for providing individualized feedback and detailed profiles of students' skills. Yet many technologies for mathematics education assess students based only on the correctness of either their final answers or responses to individual steps. In contrast, examining the choices students make for how…
Descriptors: Computer Assisted Testing, Mathematics Tests, Mathematics Skills, Student Evaluation
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Hitt, Fernando; Saboya, Mireille; Cortés Zavala, Carlos – ZDM: The International Journal on Mathematics Education, 2016
This paper presents an experiment that attempts to mobilise an arithmetic-algebraic way of thinking in order to articulate between arithmetic thinking and the early algebraic thinking, which is considered a prelude to algebraic thinking. In the process of building this latter way of thinking, researchers analysed pupils' spontaneous production…
Descriptors: Arithmetic, Algebra, Mathematics Instruction, Cooperative Learning
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Hitt, Fernando; Saboya, Mireille; Zavala, Carlos Cortés – Educational Studies in Mathematics, 2017
Part of the research community that has followed the Early Algebra paradigm is currently delimiting the differences between arithmetic thinking and algebraic thinking. This trend could prevent new research approaches to the problem of learning algebra, hiding the importance of considering an arithmetico-algebraic thinking, a new approach which…
Descriptors: Arithmetic, Algebra, Educational Technology, Thinking Skills
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Soto-Johnson, Hortensia – International Journal for Technology in Mathematics Education, 2014
The Common Core State Standards Initiative stresses the importance of developing a geometric and algebraic understanding of complex numbers in their different forms (i.e., Cartesian, polar and exponential). Unfortunately, most high school textbooks do not offer such explanations much less exercises that encourage students to bridge geometric and…
Descriptors: Arithmetic, Mathematics Instruction, High School Students, Secondary School Mathematics
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Hewitt, Dave – Mathematical Thinking and Learning: An International Journal, 2014
This article analyzes the use of the software Grid Algebra with a mixed ability class of 21 nine-to-ten-year-old students who worked with complex formal notation involving all four arithmetic operations. Unlike many other models to support learning, Grid Algebra has formal notation ever present and allows students to "look through" that…
Descriptors: Mathematics Instruction, Mathematical Logic, Problem Solving, Equations (Mathematics)
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Kovacs, Zoltan – International Journal for Technology in Mathematics Education, 2010
The use of difference and differential equations in the modelling is a topic usually studied by advanced students in mathematics. However difference and differential equations appear in the school curriculum in many direct or hidden ways. Difference equations first enter in the curriculum when studying arithmetic sequences. Moreover Newtonian…
Descriptors: Equations (Mathematics), Computer Uses in Education, Computer Software, Mathematics Instruction
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Brown, Susan A.; Mehilos, Megan – Mathematics Teaching in the Middle School, 2010
Many students and adults feel that algebra is merely the shuffling of symbols. The three interrelated concepts of variable, expression, and equation are central to beginning algebra, and in recent years, helping students understand the idea of a variable has been emphasized. Although graphing calculators help students solve equations, it is also…
Descriptors: Graphing Calculators, Equations (Mathematics), Arithmetic, Algebra
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Trgalova, Jana; Bouhineau, Denis; Nicaud, Jean-Francois – International Journal of Computers for Mathematical Learning, 2009
The analysis presented in this article tries to obtain a global view of the field of interactive learning environments (ILE) dedicated to arithmetic and algebra. As preliminaries, a brief overview of evaluation methods focusing on educational software is given and a short description of ten ILEs concerned by the study is provided as a kind of a…
Descriptors: Evaluation Methods, Arithmetic, Algebra, Computer Software
Gardiner, Tony – Micromath, 2001
Reacts to an article published in a previous issue of this journal on the effects of graphing calculators and computer algebra systems (CAS) on students' manual calculation skills. Asks enthusiasts of CAS to learn from history and avoid pitfalls. (ASK)
Descriptors: Algebra, Arithmetic, Educational Technology, Elementary Secondary Education
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Caballero-Gil, Pino; Bruno-Castaneda, Carlos – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2007
This work addresses the subject of mathematics education at secondary schools from a current and stimulating point of view intimately related to computational science. Cryptology is a captivating way of introducing into the classroom different mathematical subjects such as functions, matrices, modular arithmetic, combinatorics, equations,…
Descriptors: Mathematics Education, Arithmetic, Mathematics Instruction, Secondary School Mathematics
Monaghan, John – Micromath, 2001
Reacts to an article published in a previous issue of this journal on the effects of graphing calculators and computer algebra systems (CAS) on students' manual calculation and algebraic manipulation skills. Considers the contribution made by Jean-Baptiste Lagrange to thinking about the role of CAS in teaching algebra. (ASK)
Descriptors: Algebra, Arithmetic, Educational Technology, Elementary Secondary Education
Mekonnen, Adugna; Reznichenko, Nataliya – Online Submission, 2007
Today's college ACCUPLACER System's Computerized Placement Test (CPT) plays a major role for determining whether post-secondary students are ready for placement into Arithmetic, Elementary Algebra, Intermediate Algebra, or College Mathematics courses. It is widely used in most college systems in the U.S. This paper discusses some of the issues to…
Descriptors: College Mathematics, Validity, Mathematics Tests, Arithmetic
Leutzinger, Larry, Ed. – 1998
This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…
Descriptors: Algebra, Arithmetic, Educational Change, Educational Technology
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