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Czocher, Jennifer A.; Moss, Diana L. – Mathematics Teaching in the Middle School, 2017
This article presents the Snail problem, a relatively simple challenge about motion that offers engaging extensions involving the notion of infinity. It encourages students in grades 5-9 to connect mathematics learning to logic, history, and philosophy through analyzing the problem, making sense of quantitative relationships, and modeling with…
Descriptors: Mathematical Concepts, Motion, Concept Formation, Problem Solving
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Shanty, Nenden Octavarulia; Hartono, Yusuf; Putri, Ratu Ilma Indra; de Haan, Dede – Indonesian Mathematical Society Journal on Mathematics Education, 2011
This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…
Descriptors: Foreign Countries, Grade 5, Elementary School Mathematics, Multiplication
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Van Dooren, Wim; De Bock, Dirk; Evers, Marleen; Verschaffel, Lieven – Journal for Research in Mathematics Education, 2009
Previous research has shown that when confronted with missing-value word problems, primary school students strongly tend to use proportional solution approaches, even if these approaches are inappropriate. The authors investigated whether (besides the missing-value formulation of word problems) the numbers appearing in word problems are part of…
Descriptors: Cues, Word Problems (Mathematics), Primary Education, Problem Solving
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Xin, Yan Ping; Si, Luo; Hord, Casey; Zhang, Dake; Cetinas, Suleyman; Park, Joo Young – Learning Disabilities: A Multidisciplinary Journal, 2012
The study explored the effects of a computer-assisted COnceptual Model-based Problem-Solving (COMPS) program on multiplicative word-problem-solving performance of students with learning disabilities or difficulties. The COMPS program emphasizes mathematical modeling with algebraic expressions of relations. Participants were eight fourth and fifth…
Descriptors: Learning Disabilities, Program Effectiveness, Teaching Methods, Problem Solving
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Friedlander, Alex – Mathematics Teaching in the Middle School, 2009
Infinity and infinitely small numbers pique the curiosity of middle school students. From a very young age, many students are intrigued, interested, and even fascinated by extremely large or extremely small numbers or quantities. This article describes an activity that takes this curiosity about infinity into the domain of adding the numbers of an…
Descriptors: Numbers, Mathematical Concepts, Grade 5, Arithmetic
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Cramer, Kathleen; Wyberg, Terry – Mathematical Thinking and Learning: An International Journal, 2009
The effectiveness of different concrete and pictorial models on students' understanding of the part-whole construct for fractions was investigated. Using interview data from fourth and fifth grade students from three different districts that adopted the "Mathematics Trailblazers" series, authors identified strengths and limitations of models used.…
Descriptors: Mathematics Education, Grade 5, Mathematical Models, 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