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Showing 1 to 15 of 23 results Save | Export
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Pittalis, Marios – International Journal of Science and Mathematics Education, 2023
A theoretical model describing young students' (Grade 3) arithmetic-algebraic structure sense was formulated and validated empirically (n = 130), hypothesizing that young students' arithmetic-algebraic structure sense consists of five distinct but correlated factors; structure in numerical equivalence and word-problem modeling, structure in…
Descriptors: Elementary School Students, Grade 3, Mathematics Skills, Arithmetic
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Laudano, Francesco – International Journal of Mathematical Education in Science and Technology, 2022
We introduce the concept of the "sequence of the ratios of convex quadrilaterals," identify some properties of these sequences and use them to provide new characterizations for some classic quadrilateral families. The research involves aspects of geometry, arithmetic and mathematical analysis, which converge to produce the results.
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Geometry
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Watson, Steven – Mathematics Teaching Research Journal, 2020
George Spencer-Brown's Laws of Forms was first published in 1969. In the fifty years since its publication, it has influenced mathematicians, scientists, philosophers, and sociologists. Its influence on mathematics education has been negligible. In this paper, I present a brief introduction to the theory and its philosophical underpinnings. And I…
Descriptors: Mathematics Education, Educational Philosophy, Educational History, Arithmetic
Sidney, Pooja; Thompson, Clarissa G.; Opfer, John E. – Grantee Submission, 2019
Children's understanding of fractions, including their symbols, concepts, and arithmetic procedures, is an important facet of both developmental research on mathematics cognition and mathematics education. Research on infants', children's, and adults' fraction and ratio reasoning allows us to test a range of proposals about the development of…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Fractions
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Hitt, Fernando – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
We present the results of a research project on arithmetic-algebraic thinking that was carried out jointly by a team in Mexico and another in Quebec. The project deals with the concepts of variable and covariation between variables in the sixth grade at the elementary level and the first, second, and third years of secondary school--namely,…
Descriptors: Arithmetic, Algebra, Grade 6, Elementary School Mathematics
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Polotskaia, Elena – International Journal for Mathematics Teaching and Learning, 2017
The main goal of this paper is to show how Vasily Davydov's powerful ideas about the nature of mathematical thinking and learning can transform the teaching and learning of additive word problem solving. The name Vasily Davydov is well known in the field of mathematics education in Russia. However, the transformative value of Davydov's theoretical…
Descriptors: Models, Mathematics Instruction, Foreign Countries, Problem Solving
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Polotskaia, Elena; Savard, Annie; Freiman, Viktor – EURASIA Journal of Mathematics, Science & Technology Education, 2015
This essay proposes a reflection on the learning difficulties and teaching approaches associated with arithmetic word problem solving. We question the development of word problem solving skills in the early grades of elementary school. We are trying to revive the discussion because first, the knowledge in question--reversibility of arithmetic…
Descriptors: Mathematics Instruction, Word Problems (Mathematics), Mathematical Logic, Elementary School Mathematics
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Whitacre, Ian; Pierson Bishop, Jessica; Lamb, Lisa L.; Philipp, Randolph A.; Bagley, Spencer; Schappelle, Bonnie P. – International Journal of Mathematical Education in Science and Technology, 2015
We interviewed 40 students each in grades 7 and 11 to investigate their integer-related reasoning. In one task, the students were asked to write and interpret equations related to a story problem about borrowing money from a friend. All the students solved the story problem correctly. However, they reasoned about the problem in different ways.…
Descriptors: Grade 7, Grade 11, Interviews, Mathematical Logic
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Lee, Ji-Eun – Issues in the Undergraduate Mathematics Preparation of School Teachers, 2013
This article outlines a discussion had by a group of prospective teachers regarding questions that remained after their previous experiences as students. The discussion was focused on the rules associated with the division of decimals. Prospective teachers' initial discussion showed a strong tendency to handle the rules as taken-for-granted…
Descriptors: Arithmetic, Preservice Teacher Education, Preservice Teachers, Learning Experience
Thompson, Ian – Mathematics Teaching, 2012
Ofsted was asked to provide evidence of effective practice in the teaching of early arithmetic, its report entitled; "Good practice in primary mathematics: evidence from 20 successful schools," was published in November 2011. Did this report pass you by? Unfortunately, as with many other reports not blessed with a "high…
Descriptors: Teaching Methods, Mathematics Instruction, Elementary School Mathematics, Evidence
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Godino, Juan D.; Font, Vicenc; Wilhelmi, Miguel R.; Lurduy, Orlando – Educational Studies in Mathematics, 2011
The semiotic approach to mathematics education introduces the notion of "semiotic system" as a tool to describe mathematical activity. The semiotic system is formed by the set of signs, the production rules of signs and the underlying meaning structures. In this paper, we present the notions of system of practices and configuration of objects and…
Descriptors: Semiotics, Mathematics Education, Arithmetic, Mathematical Formulas
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Hill, Theodore P.; Morrison, Kent E. – College Mathematics Journal, 2010
This paper surveys the fascinating mathematics of fair division, and provides a suite of examples using basic ideas from algebra, calculus, and probability which can be used to examine and test new and sometimes complex mathematical theories and claims involving fair division. Conversely, the classical cut-and-choose and moving-knife algorithms…
Descriptors: Probability, Calculus, Mathematics Instruction, Algebra
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Van Dooren, Wim; De Bock, Dirk; Verschaffel, Lieven – Cognition and Instruction, 2010
This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value…
Descriptors: Numbers, Word Problems (Mathematics), Mathematical Logic, Problem Solving
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Jiang, Chunlian; Chua, Boon Liang – International Journal of Science and Mathematics Education, 2010
This paper presents the results obtained from a study comparing the strategies used by 1,070 Chinese students and 1,002 Singaporean students from primary grade 6 to secondary year 2 in solving three fraction-related problems. It is part of the author's Ph.D. study, which involves more word problems on speed. The Chinese students performed better…
Descriptors: Comparative Analysis, Word Problems (Mathematics), Cross Cultural Studies, Elementary School Students
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Asiru, Muniru A. – International Journal of Mathematical Education in Science and Technology, 2008
The note introduces sequences having M-bonacci property. Two summation formulas for sequences with M-bonacci property are derived. The formulas are generalizations of corresponding summation formulas for both M-bonacci numbers and Fibonacci numbers that have appeared previously in the literature. Applications to the Arithmetic series, "m"th "g -…
Descriptors: Validity, Mathematical Logic, Problem Solving, Numbers
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