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Liu, Allison S.; Kallai, Arava Y.; Schunn, Christian D.; Fiez, Julie A. – Instructional Science: An International Journal of the Learning Sciences, 2015
Mathematical fluency is important for academic and mathematical success. Fluency training programs have typically focused on fostering retrieval, which leads to math performance that does not reliably transfer to non-trained problems. More recent studies have focused on training number understanding and representational precision, but few have…
Descriptors: Mental Computation, Mathematics Achievement, Mathematics Instruction, Transfer of Training
Baek, Youngkyun; Wang, Sasha; Yang, Dazhi; Ching, Yu-Hui; Swanson, Steve; Chittoori, Bhaskar – European Journal of STEM Education, 2019
This study, a sub-study of a National Science Foundation (NSF) funded research project, applies a modified strategy of the U[superscript 2]MC for an eight-week afterschool robotics curriculum to promote upper elementary students' computational thinking in the second grade. Twenty-one students in second grade participated in a Life on Mars project…
Descriptors: Grade 2, Robotics, Elementary School Students, Elementary School Science
Whitacre, Ian; Rumsey, Chepina – Cognition and Instruction, 2018
This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…
Descriptors: Mathematics Instruction, Social Influences, Preservice Teachers, Elementary Education
Gürbüz, Ramazan; Erdem, Emrullah – Cogent Education, 2016
Mental computation and mathematical reasoning are two intertwined top-level mental activities. In deciding which strategy to use when doing mental computing, mathematical reasoning is essential. From this reciprocal influence, the current study aims at examining the relationship between mental computation and mathematical reasoning. The study was…
Descriptors: Mathematical Logic, Thinking Skills, Mathematical Aptitude, Mental Computation
Tague, Jenna; Joseph, Manjula Peter; Zhang, Pingping – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
The focus of the current proposal is to examine the effect of two dynamic simulations on the participants' conceptions of rate of change. Conceptions of rate of change were measured according to Carlson et al.'s (2002) Mental Actions framework and how the participants related the physical simulations to the graphical representations (Heid, et al.,…
Descriptors: Simulation, Mental Computation, Algebra, Mathematical Logic
Thomsen, Brian M. – ProQuest LLC, 2017
Too many students are entering post-secondary education lacking foundational mathematics skills that are critical to performance on placement examinations. As a result, students are forced to take remedial courses that are often non-credit bearing and hinder their progress toward graduation. Research suggests that a lack of number sense may…
Descriptors: Computation, Mathematics Achievement, High School Students, Disabilities
SanGiovanni, John J.; Milou, Eric – Corwin, 2018
Do your students need more opportunities do develop number sense and reasoning? Are you looking to get your students energized and talking about mathematics? Have you wondered how practical, replicable, and engaging activities would complement your mathematics instruction? This guide answers the question "What could I do differently?" by…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Grade 6
Jan Mokros; Jennifer Atkinson – Journal of STEM Outreach, 2018
This paper describes innovative ways of bringing mathematical learning into community venues in rural settings. We selected highly engaging mathematical activities, adapted them for middle school youth and their families, and brought them to the "locavore" contexts of Farmers Markets and community agricultural fairs. "STEM…
Descriptors: Agricultural Production, Mathematics Education, Mathematical Concepts, Middle School Students
Brez, Caitlin C.; Miller, Angela D.; Ramirez, Erin M. – Journal of Cognition and Development, 2016
Numerical estimation has been used to study how children mentally represent numbers for many years (e.g., Siegler & Opfer, 2003). However, these studies have always presented children with positive numbers and positive number lines. Children's mental representation of negative numbers has never been addressed. The present study tested children…
Descriptors: Cognitive Processes, Numeracy, Numbers, Grade 2
Vrachnos, Euripides; Jimoyiannis, Athanassios – Themes in Science and Technology Education, 2017
Developing students' algorithmic and computational thinking is currently a major objective for primary and secondary education in many countries around the globe. Literature suggests that students face at various difficulties in programming processes, because of their mental models about basic programming constructs. Arrays constitute the first…
Descriptors: Taxonomy, Secondary School Students, Mathematics Skills, Mathematics Achievement
Korucu, Agah Tugrul; Gencturk, Abdullah Tarik; Gundogdu, Mustafa Mucahit – Online Submission, 2017
Computational thinking is generally considered as a kind of analytical way of thinking. According to Wings (2008) it shares with mathematical thinking, engineering thinking and scientific thinking in the general ways in which we may use for solving a problem, designing and evaluating complex systems or understanding computability and intelligence…
Descriptors: Mental Computation, Thinking Skills, Problem Solving, Secondary School Students
Oppezzo, Marily Ann; Dohmen, Ilsa; Schwartz, Daniel L. – AERA Online Paper Repository, 2017
It is often assumed when students fidget they are not on task. Two within-subject studies challenge this assumption by testing the effect of allowing fidgeting on three types of thinking: speeded mental math (Study 1), brainstorming and memory (Study 2). Study 1 showed that student's performance on speeded math was no different when performed in a…
Descriptors: Motion, Human Body, Creativity, Thinking Skills
Habre, Samer – International Journal of Mathematical Education in Science and Technology, 2017
Covariational reasoning has been the focus of many studies but only a few looked into this reasoning in the polar coordinate system. In fact, research on student's familiarity with polar coordinates and graphing in the polar coordinate system is scarce. This paper examines the challenges that students face when plotting polar curves using the…
Descriptors: Mathematics Achievement, Mathematics Activities, Problem Solving, Geometry
Torbeyns, Joke; Verschaffel, Lieven – European Journal of Psychology of Education, 2016
This study analyzed children's use of mental computation strategies and the standard algorithm on multi-digit subtractions. Fifty-eight Flemish 4th graders of varying mathematical achievement level were individually offered subtractions that either stimulated the use of mental computation strategies or the standard algorithm in one choice and two…
Descriptors: Mental Computation, Mathematical Logic, Subtraction, Grade 4
Bakar, Kamariah Abu; Way, Jennifer; Bobis, Janette – Mathematics Education Research Group of Australasia, 2016
This paper explores young children's drawings (6 years old) in early number and addition activities in Malaysia. Observation, informal interviews and analysis of drawings revealed two types of drawing, and gave insight into the transitional process required for children to utilise drawings in problem solving. We argue the importance of valuing and…
Descriptors: Foreign Countries, Young Children, Freehand Drawing, Problem Solving