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Download full textSeah, Rebecca – Mathematics Education Research Group of Australasia, 2012
Despite the emphasis that children should have a robust sense of number and a thorough understanding of fraction (National Mathematics Advisory Panel, 2008), many students continue to struggle with these concepts. Booker Diagnostic Assessment Framework (Booker, 2011) can inform decision about teaching that improves students' learning outcomes.…
Descriptors: Special Needs Students, Fractions, Arithmetic, Number Concepts
Peer reviewed
Direct linkKoklu, Oguz; Topcu, Abdullah – International Journal of Mathematical Education in Science and Technology, 2012
Pre-existing misconceptions are serious impediments to learning in mathematics. Means for detecting and correcting them have received much attention in the literature of educational research. Dynamic geometry software has been tried at different grade levels. This quasi-experimental study investigates the effect of Cabri-assisted instruction on…
Descriptors: Secondary School Students, Geometry, Control Groups, Experimental Groups
Nilsson, Per – Journal of Mathematical Behavior, 2009
This study investigates students' conceptual variation and coordination among theoretical and experimental interpretations of probability. In the analysis we follow how Swedish students (12-13 years old) interact with a dice game, specifically designed to offer the students opportunities to elaborate on the logic of sample space,…
Descriptors: Probability, Logical Thinking, Foreign Countries, Games
Montiel, Mariana; Vidakovic, Draga; Kabael, Tangul – Investigations in Mathematics Learning, 2009
The present study was implemented as a prelude to a study on the generalization of the single variable function concept to multivariate calculus. In the present study we analyze students' mental processes and adjustments, as they are being exposed to single variable calculus with polar coordinates. The results show that there appears to be a…
Descriptors: Multivariate Analysis, Calculus, Misconceptions, Mathematical Concepts
Mallett, Susanne; Wren, Steve; Dawes, Mark; Blinco, Amy; Haines, Brett; Everton, Jenny; Morgan, Ellen; Barton, Craig; Breen, Debbie; Ellison, Geraldine; Burgess, Danny; Stavrou, Jim; Carre, Catherine; Watson, Fran; Cherry, David; Hawkins, Chris; Stapenhill-Hunt, Maria; Gilderdale, Charlie; Kiddle, Alison; Piggott, Jennifer – Mathematics Teaching, 2009
A group of teachers involved in embedding NRICH tasks (http://nrich.maths.org) into their everyday practice were keen to challenge common perceptions of mathematics, and of the teaching and learning of mathematics. In this article, the teachers share what they are doing to change these perceptions in their schools.
Descriptors: Mathematics Education, Perception, Mathematics Instruction, Mathematics
Liu, Andy – College Mathematics Journal, 2009
In this paper, we give two unexpected applications of a Hamming code. The first one, also known as the "Hat Problem," is based on the fact that a small portion of the available code words are actually used in a Hamming code. The second one is a magic trick based on the fact that a Hamming code is perfect for single-error correction.
Descriptors: Mathematics Instruction, College Mathematics, Coding, Mathematical Concepts
Zhou, Li – College Mathematics Journal, 2009
The familiar process of synthetic division is extended to much more complicated divisors and turns out, surprisingly, not to be as difficult as one might imagine.
Descriptors: Mathematics Instruction, College Mathematics, Arithmetic, Mathematical Concepts
Norton, Anderson – College Mathematics Journal, 2009
After Peano gave an arithmetic construction, Hilbert developed a geometric construction for space-filling curves. This paper describes the key idea of Hilbert's construction, here called "the nested-squares criterion," implicit in Hilbert's writing but, once explicated, generalizes to a whole class of space-filling curves that correspond to a…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, College Mathematics
Vis, Timothy; Petersen, Ryan M. – College Mathematics Journal, 2009
A Latin square of order "n" is an "n" x "n" array using n symbols, such that each symbol appears exactly once in each row and column. A set of Latin squares is c ordered pairs of symbols appearing in the cells of the array are distinct. The popular puzzle Sudoku involves Latin squares with n = 9, along with the added condition that each of the 9…
Descriptors: Problem Solving, Mathematics Instruction, College Mathematics, Games
Zucker, Marc – College Mathematics Journal, 2009
We introduce a simple game made up of a board of coins on a triangular lattice. We then study the possibility of turning the board from one pattern of heads and tails to some other pattern. Given that a solution exists we find a precise answer to the number of solutions possible. We then generalize this to more complex boards with coins of many…
Descriptors: Mathematics Instruction, College Mathematics, Educational Games, Problem Solving
Chen, Hang; Cooper, Curtis – College Mathematics Journal, 2009
Motivated by Fitch Cheney's 5-card trick, we present and analyze several "n"-card tricks. We determine the minimum "n" to perform the trick, with and without timing.
Descriptors: Mathematics Instruction, College Mathematics, Creative Teaching, Mathematical Concepts
Lavy, Ilana; Mashiach-Eizenberg, Michal – Journal of Statistics Education, 2009
Various terms are used to describe mathematical concepts, in general, and statistical concepts, in particular. Regarding statistical concepts in the Hebrew language, some of these terms have the same meaning both in their everyday use and in mathematics, such as Mode; some of them have a different meaning, such as Expected value and Life…
Descriptors: Mathematical Concepts, Oral Language, Vocabulary, Definitions
Shutler, Paul M. E. – International Journal of Mathematical Education in Science and Technology, 2009
We consider Egyptian mathematics from a postmodern perspective, by which we mean suspending judgement as to strict correctness in order to appreciate the genuine mathematical insights which they did have in the context in which they were working. In particular we show that the skill which the Egyptians possessed of obtaining the general case from…
Descriptors: Mathematics Education, Geometric Concepts, Mathematical Concepts, Problem Solving
Kulkarni, Raghavendra G. – International Journal of Mathematical Education in Science and Technology, 2009
We describe a method to extract roots of a reducible quintic over the real field, which makes use of a simple division. A procedure to synthesize such quintics is given and a numerical example is solved to extract the roots of quintic with the proposed method.
Descriptors: Problem Solving, Equations (Mathematics), Mathematics Instruction, Mathematical Concepts
Dwyer, Jerry; Barnard, Roger; Cook, David; Corte, Jennifer – Australian Senior Mathematics Journal, 2009
This paper discusses some common iterations of complex functions. The presentation is such that similar processes can easily be implemented and understood by undergraduate students. The aim is to illustrate some of the beauty of complex dynamics in an informal setting, while providing a couple of results that are not otherwise readily available in…
Descriptors: Undergraduate Study, Mathematics Instruction, College Mathematics, Mathematical Concepts
