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Voight, Matthew; Apkarian, Naneh; Rasmussen, Chris – International Journal of Mathematical Education in Science and Technology, 2020
Precalculus and single-variable calculus courses are a critical early juncture for the success of science, technology, engineering, and mathematics (STEM) students in the United States (US). The default course structure is often a required three-term sequence of precalculus, differential calculus, and integral calculus. In this paper we analyse…
Descriptors: Undergraduate Students, Calculus, Mathematics Instruction, STEM Education
Lee, Ji-Eun; Hornburg, Caroline Byrd; Chan, Jenny Yun-Chen; Ottmar, Erin – Grantee Submission, 2021
We investigated the effects of proximal grouping of numbers, problem-solving goals to make 100, and prior knowledge on students' solution strategies in an online mathematics game. Logistic regression on 857 problem-level data points from 227 middle-school students showed that students were more likely to use productive solution strategies on…
Descriptors: Mathematics Instruction, Teaching Methods, Middle School Students, Computer Games
Saifurrisal, Ahmad Hasan – International Society for Technology, Education, and Science, 2022
Problem-solving is one of the 21st-century skills. However, students still have difficulty solving sequences and series word problems. The purpose of this research is to analyze students' errors in solving sequences and series word problems based on problem-solving steps of Polya. The research method is descriptive qualitative. The research…
Descriptors: Error Patterns, Word Problems (Mathematics), Mathematics Tests, Student Attitudes
Toker, Zerrin – Acta Didactica Napocensia, 2020
This study focuses on students' reflections on their prior learning, action plans generated by them, and the corrective instructional design process. The concern that initiates the beginning of this action research is two folds: on the side of students, to maximize students benefit from corrective instruction and on the teacher's side, being more…
Descriptors: Individualized Instruction, Mathematics Instruction, Instructional Design, Instructional Effectiveness
Nagashima, Tomohiro; Bartel, Anna N.; Yadav, Gautam; Tseng, Stephanie; Vest, Nicholas A.; Silla, Elena M.; Alibali, Martha W.; Aleven, Vincent – Grantee Submission, 2021
Prior research shows that self-explanation promotes understanding by helping learners connect new knowledge with prior knowledge. However, despite ample evidence supporting the effectiveness of self-explanation, an instructional design challenge emerges in how best to scaffold self-explanation. In particular, it is an open challenge to design…
Descriptors: Teaching Methods, Mathematics Instruction, Algebra, Middle School Students
Martin, Christie Lynn – School Science and Mathematics, 2015
In this study, I examine how using a writers' workshop model in mathematics creates a space for students to write about their mathematical thinking and problem solving and how their writing impacts instruction. This case study of one classroom with one teacher spanned 6 weeks and included 18 implementations of an adapted version of the Writers'…
Descriptors: Writing (Composition), Writing Workshops, Mathematics Instruction, Problem Solving
Kairuddin; Darmawijoyo – Indonesian Mathematical Society Journal on Mathematics Education, 2011
This paper highlights the Indonesian's road transportation contexts, namely, angkot, that used in learning and teaching of addition and subtraction in first grade and second grade MIN-2 Palembang. PMRI approach that adopt from RME [Realistic Mathematics Education] was used in this design research. From teaching experiment was founded that the…
Descriptors: Foreign Countries, Transportation, Elementary School Students, Number Concepts
Khng, Kiat Hui; Lee, Kerry – Learning and Individual Differences, 2009
In Singapore, 6-12 year-old students are taught to solve algebra word problems with a mix of arithmetic and pre-algebraic strategies; 13-17 year-olds are typically encouraged to replace these strategies with letter-symbolic algebra. We examined whether algebra problem-solving proficiency amongst beginning learners of letter-symbolic algebra is…
Descriptors: Intelligence, Prior Learning, Inhibition, Computation
van Putten, Cornelis M.; van den Brom-Snijders, Petra A.; Beishuizen, Meindert – Journal for Research in Mathematics Education, 2005
Students' strategies for solving long division problems under a realistic mathematics approach (RME) at Dutch primary schools were categorized in two ways: (a) according to the level of how students created multiples of the divisor (chunking) to be subtracted from the dividend; and (b) according to their use, or nonuse, of schematic notation.…
Descriptors: Foreign Countries, Mathematics Instruction, Problem Solving, Teaching Methods
Witzel, Bradley S.; Allsopp, David – Mathematics Teaching in the Middle School, 2007
Research is only beginning to show the benefits of the effective use of manipulatives with students who have disabilities. This article highlights how teachers can incorporate three manipulative instructional strategies to help students with high-incidence disabilities.
Descriptors: Learning Strategies, Manipulative Materials, Special Education, Mathematics Instruction
Ball, Deborah Loewenberg – 1989
A mathematics methods course is a critical site for intervening on prospective teachers' past experiences with mathematics, which have often left them without a meaningful understanding of mathematical content, appreciation of what mathematics entails, or confidence in their own ability to do and to learn mathematics. This paper examines the role…
Descriptors: Associative Learning, Educational Experience, Elementary Education, Higher Education
Jacque, Ensign – 1996
Despite suggestions for incorporating students' experiences into school math lessons, mathematics education seems to be the last bastion of formalism. This paper reports on a sociocultural study of the use of students' personal experiences in early childhood elementary mathematics lessons. This study documents the use of students' personal…
Descriptors: Classroom Techniques, Cultural Context, Early Childhood Education, Elementary Education
Kenney, Joan M.; Hancewicz, Euthecia; Heuer, Loretta; Metsisto, Diana; Tuttle, Cynthia L. – ASCD, 2005
One of the best ways to give students the background knowledge they need to understand math concepts is to teach them the vocabulary and comprehension skills that are essential to understanding math. So here's a book that explains how to do that and provides teachers with lots of classroom-proven ways to prepare students to be successful math…
Descriptors: Comprehension, Writing Strategies, Prior Learning, Problem Solving