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Wessman-Enzinger, Nicole M.; Mooney, Edward S. – International Journal of Mathematical Education in Science and Technology, 2021
In this article, we report the findings of a study conducted with 6 Grade 8 students in the United States. The students posed stories for open number sentences involving addition and subtraction of integers. We analysed the stories posed by the students to build models that describe the conceptual structures behind these posed stories -- the…
Descriptors: Addition, Subtraction, Mathematics Instruction, Numbers
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Kuzu, Okan – Acta Didactica Napocensia, 2020
In this study, representations used by preservice mathematics teachers in the process of solving limit problems were determined, the inter-representation transformation competence levels were investigated and the relationship between them was examined. In this context, "Limit Representation Transformation Test" with a reliability of…
Descriptors: Foreign Countries, Preservice Teachers, Mathematics Teachers, Problem Solving
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Clarkson, Kelsey A.; Tobias, Jennifer M. – Mathematics Teacher: Learning and Teaching PK-12, 2020
Representing repeating nonterminating decimals as rational numbers is a topic introduced in the seventh-grade Common Core State Standards for Mathematics. According to Content Standard 7.NS.2.D., students should be able to represent a rational number as a decimal and understand that the decimal will either end in zeros or eventually repeat (NGO…
Descriptors: Secondary School Mathematics, Number Concepts, Arithmetic, Mathematics Skills
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Setyawan, Fariz; Prasetyo, Puguh Wahyu; Nurnugroho, Burhanudin Arif – Journal of Research and Advances in Mathematics Education, 2020
Critical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills. To develop a good critical thinking skill, the researcher develops a textbook of Complex Analysis…
Descriptors: Textbook Preparation, Critical Thinking, Mathematics Education, Problem Solving
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Karabey, Burak – Australian Mathematics Education Journal, 2019
This study aims to introduce a method that is based on the relationship between numbers and geometry, which can be used to show the exact location of rational numbers on the number line, compare rational numbers, make calculations, and examine rational numbers conceptually through parallel lines. It is believed that this method will to contribute…
Descriptors: Number Concepts, Geometry, Geometric Concepts, Computation
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Tosto, Maria Grazia; Garon-Carrier, Gabrielle; Gross, Susan; Petrill, Stephen A.; Malykh, Sergey; Malki, Karim; Hart, Sara A.; Thompson, Lee; Karadaghi, Rezhaw L.; Yakovlev, Nikita; Tikhomirova, Tatiana; Opfer, John E.; Mazzocco, Michèle M. M.; Dionne, Ginette; Brendgen, Mara; Vitaro, Frank; Tremblay, Richard E.; Boivin, Michel; Kovas, Yulia – British Journal of Educational Psychology, 2019
Background: The number line task assesses the ability to estimate numerical magnitudes. People vary greatly in this ability, and this variability has been previously associated with mathematical skills. However, the sources of individual differences in number line estimation and its association with mathematics are not fully understood. Aims: This…
Descriptors: Twins, Individual Differences, Computation, Mathematics Skills
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Schiller, Lauren K.; Fan, Ao; Siegler, Robert S. – Journal of Numerical Cognition, 2022
The number one plays a special role in mathematics because it is the identity element in multiplication and division. The present findings, however, indicate that many middle school students do not demonstrate mathematical flexibility representing one as a fraction. Despite possessing explicit knowledge of fraction forms of one (e.g., 95% of…
Descriptors: Numbers, Mathematics Instruction, Multiplication, Division
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Simon Byeonguk Han; Eva Thanheiser – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Due to the sudden and unexpected move to remote learning in 2020 influenced by COVID-19, both mathematics teacher educators (MTEs) and prospective elementary teachers (PTs) faced a new challenge in creating a productive remote teaching and learning environment. In this study, we used Parrish's (2014) addition strategies and Thanheiser's (2009)…
Descriptors: Mathematics Teachers, Preservice Teachers, Preservice Teacher Education, Online Courses
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Robert J. Sternberg; Jenna Landy; Jennifer Long – Roeper Review, 2024
Procedures for identifying the gifted often make use of tests of general intelligence, among other assessments. Robert J. Sternberg recently suggested that identification of the gifted should further involve assessment of what he refers to as adaptive intelligence--the ability to adapt to real-world environments. Such a conception of intelligence…
Descriptors: Intelligence, Intelligence Tests, Gifted, Identification
Mielicki, Marta K.; Fitzsimmons, Charles J.; Woodbury, Lauren H.; Marshal, Hannah; Zhang, Dake; Rivera, Ferdinand D.; Thompson, Clarissa A. – Grantee Submission, 2021
Prior work exploring preschool-aged children's reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children's growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern…
Descriptors: Elementary School Students, Mathematics Skills, Number Concepts, Word Problems (Mathematics)
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What Works Clearinghouse, 2021
This document includes instructional tips on: (1) Building on students' informal understanding of sharing and proportionality to develop initial fraction concepts; (2) Helping students recognize that fractions are numbers that expand the number system beyond whole numbers, and using number lines to teach this and other fraction concepts; (3)…
Descriptors: Mathematics Instruction, Instructional Effectiveness, Fractions, Elementary School Students
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Steinke, Dorothea A. – Journal of Adult Education, 2015
Earlier institution-sponsored research revealed that about 20% of students in community college basic math and pre-algebra programs lacked a sense of part-whole relationships with whole numbers. Using the same tool with a group of 86 workforce students, about 75% placed five whole numbers on an empty number line in a way that indicated lack of…
Descriptors: Community Colleges, Number Concepts, Number Systems, Numbers
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Spangenberg, Erica Dorethea; Pithmajor, Aphane Koko – EURASIA Journal of Mathematics, Science and Technology Education, 2020
Many Grade 9 mathematics learners face difficulties in solving number-pattern problems due to insufficient exposure to strategies in solving such problems. The aim of this exploratory qualitative study was to investigate Grade 9 mathematics learners' strategies in solving number-pattern problems. The problem-solving conceptual framework of Singer…
Descriptors: Grade 9, Secondary School Mathematics, Secondary School Students, Adolescents
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Nur, Andi Saparuddin; Kartono, Kartono; Zaenuri, Zaenuri; Rochmad, Rochmad – Participatory Educational Research, 2022
The integer is a basic concept in studying arithmetic and algebra. However, students still frequently experience misconceptions, especially in negative integer, count operations. Traditional games are activities that are often carried out by students in coastal areas so that they are relevant to be used as a tool to construct learning trajectories…
Descriptors: Learning Processes, Elementary School Students, Grade 6, Preadolescents
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Fuadiah, Nyiayu Fahriza; Suryadi, Didi; Turmudi – International Education Studies, 2017
This study revealed how students' understanding of negative numbers and identified their difficulties related with the concept of integer and its counting operation as part of identifying epistemological obstacles about negative numbers. Even though teachers have explained counting operation procedure of integer, but there was concept…
Descriptors: Mathematical Concepts, Numbers, Number Concepts, Qualitative Research
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