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First Graders Coordination of Counting and Movements on a Grid When Programming with Tangible Blocks
Abigail Erskine; Laura Bofferding; Sezai Kocabos; Haoran Tang – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
As elementary students begin to program using tangible blocks, they must coordinate their use of counting with the movements, directions, and numbers they use to move a character. In our study, we analyzed 13 first graders' first attempts at coordinating these elements when playing a programming game on the iPad that used tangible programming…
Descriptors: Elementary School Students, Elementary School Mathematics, Grade 1, Computation
Malik, Ali; Wu, Mike; Vasavada, Vrinda; Song, Jinpeng; Coots, Madison; Mitchell, John; Goodman, Noah; Piech, Chris – International Educational Data Mining Society, 2021
Access to high-quality education at scale is limited by the difficulty of providing student feedback on open-ended assignments in structured domains like programming, graphics, and short response questions. This problem has proven to be exceptionally difficult: for humans, it requires large amounts of manual work, and for computers, until…
Descriptors: Grading, Accuracy, Computer Assisted Testing, Automation
Iseli, Markus; Feng, Tianying; Chung, Gregory; Ruan, Ziyue; Shochet, Joe; Strachman, Amy – Grantee Submission, 2021
Computational thinking (CT) has emerged as a key topic of interest in K-12 education. Children that are exposed at an early age to STEM curriculum, such as computer programming and computational thinking, demonstrate fewer obstacles entering technical fields. Increased knowledge of programming and computation in early childhood is also associated…
Descriptors: Computation, Thinking Skills, STEM Education, Coding
Rossano, Veronica; Roselli, Teresa; Quercia, Gaetano – International Association for Development of the Information Society, 2018
The Computational Thinking recently has been recognised as one of the basic knowledge to be developed since childhood. Coding and computers are not just programming, but tools that help students to develop problem solving skills and more deep understand of the way things work. For these reasons, great attention has been focused on this topic both…
Descriptors: Coding, Computation, Problem Solving, Computer Software
Lockwood, Elise; Reed, Zackery; Caughman, John S., IV – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
The multiplication principle is a fundamental principle in enumerative combinatorics. It underpins many of the counting formulas students learn, and it provides much-needed justification for why counting works as it does. However, given its importance, the way in which it is presented in textbooks is surprisingly varied. In this paper, we document…
Descriptors: Mathematics Instruction, Multiplication, College Mathematics, Textbooks
Richard, Gabriela T.; Giri, Sagun; Ashley, Robert William – AERA Online Paper Repository, 2017
As digital and physical fabrication kits become increasingly accessible to novice and youth design and maker activities, efforts are continuing to investigate ways that computing can be inclusive, accessible and culturally responsive. An effort that demonstrates promise for equity is combining multiple toolkits that tap into different affordances…
Descriptors: High School Students, Grade 9, Manufacturing, Shared Resources and Services

Howard, Paul G.; Vitter, Jeffrey Scott – Information Processing and Management, 1992
Analyzes the amount of compression possible when arithmetic coding is used for text compression in conjunction with various input models. Algorithms are analyzed; modeling effects are considered; scaling is discussed; higher order models are examined, including prediction by partial matching; and coding effects are described. (34 references) (LRW)
Descriptors: Algorithms, Coding, Computation, Information Processing
Hewitt, Dave – International Group for the Psychology of Mathematics Education, 2003
This paper reports on part of a wider study on the teaching and learning of the conventions of formal algebraic notation. Through the analysis of paper tasks given to teachers I argue that not only does the inherent mathematical structure have an effect on the way in which an equation is manipulated but also the visual impact of notation itself.…
Descriptors: Student Attitudes, Equations (Mathematics), Algebra, Coding
Lamon, Susan J. – 1990
This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…
Descriptors: Coding, Cognitive Development, Cognitive Processes, Computation