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Degner, Kate – Mathematics Teaching in the Middle School, 2015
In the author's experience with this activity, students struggle with the idea of representativeness in probability. Therefore, this student misconception is part of the classroom discussion about the activities in this lesson. Representativeness is related to the (incorrect) idea that outcomes that seem more random are more likely to happen. This…
Descriptors: Mathematics Education, Mathematics Activities, Probability, Educational Games
Greenes, Carole E.; Cavanagh, Mary C.; Tsankova, Jenny K.; Glanfield, Florence A. – Mathematics Teaching in the Middle School, 2013
In the authors' examination of various instructional programs, they observed that most provide all the necessary data to solve proportion problems, employ compatible numbers that are usually unrealistic, present numbers (data) in the order in which they are to be manipulated, discuss contexts that cannot be easily replicated, and present…
Descriptors: Mathematical Concepts, Mathematics Instruction, Class Activities, Middle School Students
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
Kitchen, Richard; DePree, Julie – AMATYC Review, 2004
In this article, the authors describe their efforts to assess prospective K-8 teachers' knowledge of proportional reasoning. Based upon their analysis of prospective K-8 teachers' work on a mathematics performance task, they discuss the implications for preparing prospective teachers to teach proportional reasoning to their students. In general,…
Descriptors: Methods Courses, Misconceptions, Mathematics Instruction, Mathematical Concepts
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