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Direct linkSianturi, Iwan Andi Jonri; Ismail, Zaleha; Yang, Der-Ching – School Science and Mathematics, 2021
The purpose of this study is to compare the differences of four essential aspects (i.e., representational forms, contextual features, cognitive demand levels, and response types) embedded in mathematical problems within the topics of numbers and operations in mathematics textbooks used in Finland, Indonesia, Malaysia, Singapore, and Taiwan. This…
Descriptors: Mathematics Instruction, Problem Solving, Numbers, Arithmetic
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
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
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
Download full textYang, Der-Ching; Wu, Shin-Shin – Online Submission, 2012
Two 12-question estimation instruments were designed to compare the differences of estimating strategies used by the 8th-graders when solving contextual and numerical problems. Both instruments are parallel, meaning that the numbers used in both instruments are the same; however, they were presented differently. One hundred and ninety-eight…
Descriptors: Foreign Countries, Grade 8, Word Problems (Mathematics), Problem Solving
Yang, Der-Ching; Li, Mao-Neng – Educational Technology & Society, 2013
The purpose of this study was to examine the relative effectiveness of two different learning modes; namely, a computer animation self-directed learning approach and a paper version of the self-directed learning approach, to 5th-graders' number sense development. Two 5th-grade classes, 30 students each, were selected from a public elementary…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Instructional Effectiveness
Yang, Der-Ching – Australian Primary Mathematics Classroom, 2005
The author advocates for writing as an essential communication skill for learning mathematics. Mathematical diary writing is cited as a good way for students to privately represent their thinking through pictures, language, or symbols, and also as a channel for children to communicate with themselves and with their teachers. Cited research…
Descriptors: Symbols (Mathematics), Problem Solving, Communication Skills, Elementary School Mathematics
