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Direct linkShengqing He; Chen Chen – International Journal of Science and Mathematics Education, 2025
Students expose various intuitions in probability comparison and calculation tasks. Large volumes of research looked into these intuitions by categorizing learners' strategies, but fewer studies considered how these intuitions may be associated with learners' judgments. Even fewer examined the mixed effects of multiple intuitions held by the same…
Descriptors: Foreign Countries, Middle School Mathematics, Middle School Students, Mathematics Instruction
Drake, Corey; Land, Tonia J.; Bartell, Tonya Gau; Aguirre, Julia M.; Foote, Mary Q.; McDuffie, Amy Roth; Turner, Erin E. – Teaching Children Mathematics, 2015
Many teachers experience the tension between using published curriculum materials and teaching in ways that are responsive to children. Teachers are often expected to use a particular mathematics curriculum series, but they still want to be able to build on and connect to children's multiple mathematical knowledge bases (MMKB).…
Descriptors: Mathematics Curriculum, Mathematics Instruction, Relevance (Education), Problem Solving
Fuson, Karen; Clements, Douglas; Beckmann, Sybilla – National Council of Teachers of Mathematics, 2010
"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…
Descriptors: Mathematics Curriculum, Mathematical Concepts, Grade 1, Misconceptions
Schielack, Jane – National Council of Teachers of Mathematics, 2010
This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…
Descriptors: Mathematics Curriculum, Grade 8, Misconceptions, Mathematics Instruction
Download full textKonold, Clifford – 1988
One of the most common misconceptions about probability is the belief that successive outcomes of a random process are not independent. This belief has been dubbed the "gambler's fallacy". The belief that non-normative expectations such as the gambler's fallacy are widely held has inspired probability and statistics instruction that attempts to…
Descriptors: Cognitive Structures, Computer Uses in Education, Concept Formation, Curriculum Development
Lamon, Susan J. – 1990
This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…
Descriptors: Coding, Cognitive Development, Cognitive Processes, Computation
Watson, Jane, Ed.; Beswick, Kim, Ed. – Mathematics Education Research Group of Australasia, 2007
This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…
Descriptors: Teacher Education, Secondary School Mathematics, Concept Mapping, Student Teachers
