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Karen S. Karp; Sarah B. Bush; Barbara J. Dougherty – Mathematics Teacher: Learning and Teaching PK-12, 2025
Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…
Descriptors: Teaching Methods, Mathematics Instruction, Arithmetic, Mathematical Concepts
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Ezeamuzie, Ndudi O.; Leung, Jessica S. C.; Ting, Fridolin S. T. – Journal of Educational Computing Research, 2022
Although abstraction is widely understood to be one of the primary components of computational thinking, the roots of abstraction may be traced back to different fields. Hence, the meaning of abstraction in the context of computational thinking is often confounded, as researchers interpret abstraction through diverse lenses. To disentangle these…
Descriptors: Computer Science Education, Thinking Skills, Research Reports, Abstract Reasoning
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Kusaka, Satoshi – Journal of Education and Learning, 2021
Information and Communication Technology (ICT) education has been actively implemented around the world recently. ICT curriculum in schools is intended to improve students' programming-oriented thinking rather than to train them as programmers. The core of ICT education is 'computational thinking'. Computational thinking is taking an approach to…
Descriptors: Cross Cultural Studies, Thinking Skills, Information Technology, Programming
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Bao, Lei; Koenig, Kathleen; Xiao, Yang; Fritchman, Joseph; Zhou, Shaona; Chen, Cheng – Physical Review Physics Education Research, 2022
Abilities in scientific thinking and reasoning have been emphasized as core areas of initiatives, such as the Next Generation Science Standards or the College Board Standards for College Success in Science, which focus on the skills the future will demand of today's students. Although there is rich literature on studies of how these abilities…
Descriptors: Physics, Science Instruction, Teaching Methods, Thinking Skills
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Yadav, Aman; Hong, Hai; Stephenson, Chris – TechTrends: Linking Research and Practice to Improve Learning, 2016
The recent focus on computational thinking as a key 21st century skill for all students has led to a number of curriculum initiatives to embed it in K-12 classrooms. In this paper, we discuss the key computational thinking constructs, including algorithms, abstraction, and automation. We further discuss how these ideas are related to current…
Descriptors: Thinking Skills, Elementary Secondary Education, Technological Literacy, Educational Technology
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Xin, Yan Ping; Kim, Soo Jung; Lei, Qingli; Wei, Shuang; Liu, Bingyu; Wang, Wudong; Kastberg, Signe; Chen, Yingjie; Yang, Xuan; Ma, Xiaojun; Richardson, Sue Ellen – Reading & Writing Quarterly, 2020
According to Every Student Succeeds Act, schools are accountable for the improvement of all children; including those with disabilities or difficulties, recently arrived English language learners (ELs) as well as long-term ELs, and all students for whom English is not their native language. To meet the accountability requirements, it is essential…
Descriptors: At Risk Students, English Language Learners, Learning Problems, Mathematics Instruction
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Crisp, Rebecca; Inglis, Matthew; Mason, John; Watson, Anne – Research in Mathematics Education, 2012
A common activity in school mathematics is to derive a function from a table of values. There are two general strategies one might adopt to determine the function f. First, one might try to determine a connection between a particular n and f(n), and then evaluate whether it holds for other values of n. An alternative strategy would be to look for…
Descriptors: Individual Differences, Generalization, Educational Strategies, Learning Strategies
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Sriraman, Bharath; Adrian, Harry – Interchange: A Quarterly Review of Education, 2004
The tendency to generalize from specific experiences leading to new, more abstract concepts is a natural aspect of human thought. Generalizations are the end result of an inductive process that begins with the identification of similarities in seemingly disparate situations. It is the existence of such generalizations that makes it possible for us…
Descriptors: Teaching Methods, Literary Genres, English Literature, Logical Thinking
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Moss, Joan; Beatty, Ruth – International Journal of Computer-Supported Collaborative Learning, 2006
While it has been suggested that patterning activities support early algebra learning, it is widely acknowledged that the shift from perceiving patterns to understanding algebraic functions--and correspondingly, from reporting empirical patterns to providing explanations--is difficult. This paper reports on the collaborations of grade 4 students…
Descriptors: Grade 4, Algebra, Mathematics Instruction, Urban Schools
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…
Descriptors: Program Effectiveness, Foreign Countries, Symbols (Mathematics), Preservice Teacher Education
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…
Descriptors: Student Teachers, Mathematics Education, Teacher Effectiveness, Metalinguistics
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction