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Megan Rojo; Sarah G. King; Jenna Gersib; Christian T. Doabler – Learning Disability Quarterly, 2025
Competence with rational numbers is essential for mathematics proficiency in secondary mathematics. However, many students struggle with rational number concepts, and students with mathematics difficulties struggle even more. The purpose of this study was to examine the effects of an intervention that incorporated the use of explicit instruction…
Descriptors: Mathematics Instruction, Intervention, Direct Instruction, Models
When 10 [is not equal to] Ten: Teachers Develop Original Stories to Conceptualize Numeral Transition
An, Song A.; Hachey, Alyse C.; Kim, So Jung; Tillman, Daniel A. – Journal of Early Childhood Teacher Education, 2023
Traditionally, various meanings of "10" are systematically ignored in early childhood curriculum and children's understanding of numbers is restricted within the solitary mapping between the symbol "10" and quantity concept of "ten." This may be problematic for other ways that mathematics is used, both in modern life…
Descriptors: Mathematics Instruction, Teaching Methods, Numbers, Story Telling
Patrick K. Kirkland; Claire Guang; Chineme Otuonye; Nicole M. McNeil – Journal of Numerical Cognition, 2024
Students who exhibit mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly choose effective problem-solving strategies (McIntosh et al., 1997, https://ro.ecu.edu.au/ecuworks/6819). Due to its dispositional nature, mature number sense is typically measured through in-depth interviews or tests of…
Descriptors: Number Concepts, Thinking Skills, Mathematical Concepts, Multiple Choice Tests
Nurnberger-Haag, Julie; Scheuermann, Amy; McTeer, Janis S. – International Journal of Education in Mathematics, Science and Technology, 2021
Trade books are a common resource used to teach children mathematical ideas. Yet, detailed analyses of the mathematics content of such books to determine potential impacts on learning are needed. This study investigated how trade books represent whole numbers. A two-pronged approach was used: (1) one team documented every way 197 books represented…
Descriptors: Childrens Literature, Books, Mathematics Instruction, Mathematical Concepts
Tian, Jing; Siegler, Robert S. – Educational Psychology Review, 2018
Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children's…
Descriptors: Mathematics Instruction, Numbers, Numeracy, Fractions
Alibali, Martha W.; Norton, Anderson – Research in Mathematics Education, 2019
The overarching theme of this book can be simply stated: Building on a foundation of biologically based abilities, children construct number via sensorimotor and mental activity. In this chapter, we return to this theme, and we connect it to three additional themes that emerge across chapters: comparing competing models for conceptual change;…
Descriptors: Mathematics Instruction, Interdisciplinary Approach, Teaching Methods, Numbers
de Freitas, Elizabeth – Discourse: Studies in the Cultural Politics of Education, 2016
Children and animals of all kinds are said to develop some degree of number sense. The search for "number neurons" and neural correlates of computational thinking aims to identify biological primitives to explain the emergence of number sense. This work typically looks for the sources of number sense in organisms, but one might extend…
Descriptors: Numbers, Numeracy, Computation, Mathematics
Tian, Jing; Siegler, Robert S. – Grantee Submission, 2017
Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children's…
Descriptors: Mathematics Instruction, Numbers, Numeracy, Fractions
Russo, James – Australian Primary Mathematics Classroom, 2017
Using a game-based context and concentrating explicitly on language, students in the early years are able to make sense about place value amid the vagaries of the English language in naming numbers. This conceptual approach to understanding place value allows students to further develop number strategies beyond counting by ones.
Descriptors: Educational Games, Teaching Methods, Mathematical Concepts, Numbers
Vincent, Jill; Pierce, Robyn; Bardini, Caroline – Australian Senior Mathematics Journal, 2017
In this article the authors analyze the written solutions of some first year undergraduate mathematics students from Victorian universities as they answered tutorial exercise questions relating to complex numbers and differentiation. These students had studied at least Mathematics Methods or its equivalent at secondary school. Complex numbers was…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Foreign Countries
Bofferding, Laura, Ed.; Wessman-Enzinger, Nicole, Ed. – Research in Mathematics Education, 2018
Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to…
Descriptors: Addition, Subtraction, Numeracy, Thinking Skills
Education Development Center, Inc., 2016
In the domain of "Counting & Cardinality," Common Core State Standards indicate that by the time students leave kindergarten, they should know the names and sequence of number words up to 100, be able to count to determine the number of objects in a small set (up to 20), and make comparisons between small sets of objects (National…
Descriptors: Mathematics Instruction, Mathematics Skills, Computation, Numeracy
Weng, Pei-Lin; Bouck, Emily C. – TEACHING Exceptional Children, 2017
Price comparison is a functional mathematics skill involving purchasing, use of money, and budgeting, with the goal of selecting the best deal based on a person's financial resources (Browder, Spooner, & Trela, 2011). The operational definition of "price comparison" is to compare the magnitudes of the price numbers and then select…
Descriptors: Mathematics Instruction, Mathematics Skills, Mathematical Concepts, Special Education Teachers
Merkley, Rebecca; Shimi, Andria; Scerif, Gaia – ZDM: The International Journal on Mathematics Education, 2016
It is not yet understood how children acquire the meaning of numerical symbols and most existing research has focused on the role of approximate non-symbolic representations of number in this process (see Piazza, ("Trends in Cognitive" 14(12):542-551, 2010). However, numerical symbols necessitate an understanding of both order and…
Descriptors: Mathematics, Mathematics Instruction, Symbols (Mathematics), Number Concepts
van Hoof, Jo; Verschaffel, Lieven; van Dooren, Wim – Educational Studies in Mathematics, 2015
The natural number bias is known to explain many difficulties learners have with understanding rational numbers. The research field distinguishes three aspects where natural number properties are sometimes inappropriately applied in rational number tasks: density, size, and operations. The overall goal of this study was to characterize the…
Descriptors: Numbers, Elementary Secondary Education, Bias, Numeracy