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Download full textLemonidis, Charalampos; Pilianidis, Nikos – International Electronic Journal of Mathematics Education, 2020
One of the attributes of rational numbers that make them different from integers are the different symbolic modes (fraction, decimal and percentage) to which an identical number can be attributed (e.g. 1/4, 0.25 and 25%). Some research has identified students' difficulty in mental calculations with rational numbers as has also the switching to…
Descriptors: Foreign Countries, Middle School Students, Grade 8, Mathematics Skills
Torbeyns, Joke; Schneider, Michael; Xin, Ziqiang; Siegler, Robert S. – Grantee Submission, 2015
Numerical understanding and arithmetic skills are easier to acquire for whole numbers than fractions. The "integrated theory of numerical development" posits that, in addition to these differences, whole numbers and fractions also have important commonalities. In both, students need to learn how to interpret number symbols in terms of…
Descriptors: Mathematical Concepts, Comprehension, Arithmetic, Numeracy
Direct linkSiegler, Robert S.; Pyke, Aryn A. – Developmental Psychology, 2013
We examined developmental and individual differences in 6th and 8th graders' fraction arithmetic and overall mathematics achievement and related them to differences in understanding of fraction magnitudes, whole number division, executive functioning, and metacognitive judgments within a cross-sectional design. Results indicated that the…
Descriptors: Grade 6, Arithmetic, Mathematics Skills, Mathematics Instruction
Collins, Anne; Dacey, Linda – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…
Descriptors: Grade 7, Grade 8, Misconceptions, Academic Standards
Robinson, Katherine M.; Dube, Adam K. – Cognitive Development, 2009
Children's understanding of the inversion concept in multiplication and division problems (i.e., that on problems of the form "d multiplied by e/e" no calculations are required) was investigated. Children in Grades 6, 7, and 8 completed an inversion problem-solving task, an assessment of procedures task, and a factual knowledge task of simple…
Descriptors: Problem Solving, Knowledge Level, Early Adolescents, Preadolescents
National Council of Teachers of Mathematics, 2006
Middle school students consolidate their understanding of integers and rational numbers, increasing their facility with fractions, decimals, and percents and encountering proportionality. This book shows how students can explore these important ideas in such diverse activities as exchanging currency and using area models to develop algorithms for…
Descriptors: Mathematics Activities, Numbers, Grade 6, Grade 7
Rimbey, Kimberly – Actuarial Foundation, 2007
Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Dining Out! Explorations in Fractions, Decimals, and Percents," which teachers can use…
Descriptors: Student Journals, Manipulative Materials, Money Management, Dining Facilities
Steinle, Vicki; Stacey, Kaye – International Group for the Psychology of Mathematics Education, 2003
Over a period of about 3 years, 3204 students in Grades 4 to 10 completed 9862 tests to identify and track their interpretation of decimal notation. Analysis of the longitudinal data demonstrates that different misconceptions persist among students to different degrees and in different patterns across the grades. Estimating the prevalence of…
Descriptors: Grade 5, Grade 6, Grade 7, Grade 8
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
