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Yang, Der-Ching; Sianturi, Iwan Andi J. – Journal of Computer Assisted Learning, 2019
When solving a mathematical problem, students who do not have sufficient conceptual understanding may perform poorly and exhibit misconceptions. This study was aimed to examine students' conceptual understanding and significant misconceptions when solving number sense-related problems. An online three-tier diagnostic test was administered to 125…
Descriptors: Concept Formation, Diagnostic Tests, Misconceptions, Problem Solving
Yang, Der-Ching – International Journal of Science and Mathematics Education, 2019
This study investigated the performance of 790 fourth graders from Taiwan for judging the reasonableness of a computational result by using corresponding methods pertaining to whole numbers. A number-sense web-based two-tier diagnostic test was used to assess the number-sense performance of the fourth graders who participated in this study. The…
Descriptors: Grade 4, Elementary School Students, Mathematics Instruction, Mathematical Concepts
Lin, Yung-Chi; Yang, Der-Ching; Li, Mao-Neng – EURASIA Journal of Mathematics, Science & Technology Education, 2016
A web-based two-tier test (WTTT-NS) which combined the advantages of traditional written tests and interviews in assessing number sense was developed and applied to assess students' answers and reasons for the questions. In addition, students' major misconceptions can be detected. A total of 1,248 sixth graders in Taiwan were selected to…
Descriptors: Misconceptions, Number Concepts, Numbers, Number Systems