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Westaway, Lise; Ladel, Silke; Vale, Pamela; Larkin, Kevin; Graven, Mellony; Kortenkamp, Ulrich – Mathematics Education Research Group of Australasia, 2023
In this paper we compare the early years mathematics curricula of Germany, South Africa, and Australia in relation to the place value concept. Place value is an important topic as it underpins much of the number work completed by learners in the early years of schooling. We found that there were differences between the three curricula that could…
Descriptors: Cross Cultural Studies, Mathematics Instruction, Number Concepts, Mathematics Curriculum
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Sandefur, James; Lockwood, Elise; Hart, Eric; Greefrath, Gilbert – ZDM: Mathematics Education, 2022
In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Education, Relevance (Education)
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Amadeo, Marcello – ZDM: The International Journal on Mathematics Education, 2018
The purpose of this paper is to use historical textbooks to explore the number line, a mathematical object common to our time, contextualizing its use during its initial development period in the seventeenth century until its current use as in the nineteenth century. Relevant analytic geometry textbooks are explored, mainly from France and from…
Descriptors: Mathematics Instruction, Textbooks, Educational History, Geometry
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Sari, Mehmet Hayri; Herzog, Moritz; Olkun, Sinan; Fritz, Annemarie – International Electronic Journal of Mathematics Education, 2021
Research has shown that a profound place value understanding is crucial for success in learning mathematics. At the same time, a substantial number of students struggles with developing a sustainable place value understanding. In this regard, two aspects of the place value system appear especially relevant: First, the knowledge of the decimal…
Descriptors: Foreign Countries, Mathematics Instruction, Grade 2, Grade 3
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Kortenkamp, Ulrich; Ladel, Silke – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Place value is a key concept for numbers that is introduced in early mathematics. It is necessary to have a flexible understanding of place value for efficient arithmetic strategies and success in written algorithmic arithmetic. In our research we explore typical mistakes and misconceptions that occur with 3rd graders in German elementary school…
Descriptors: Number Concepts, Concept Formation, Foreign Countries, Elementary School Mathematics
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Luxton, R. G.; Last, Graham – Teaching Mathematics and Its Applications, 1998
Presents reform efforts aiming to combat underachievement in mathematics through the introduction of successful Continental pedagogy into the teaching of number concepts. Discusses the pedagogy and its introduction into the Borough's schools. Addresses some criticisms that have been leveled at the reforms. (ASK)
Descriptors: Educational Change, Elementary Education, Foreign Countries, Mathematics Instruction
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks