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Hicks, Tiara; Bostic, Jonathan D. – Mathematics Teacher: Learning and Teaching PK-12, 2021
We describe a formative assessment approach called whole-class think alouds, which foster evidence-based instructional practices and promote the goal of assessment to promote learning. They allow students to collaborate and orally communicate their problem solving.
Descriptors: Formative Evaluation, Protocol Analysis, Teaching Methods, Problem Solving
Lee, Joohi – Contemporary Issues in Early Childhood, 2015
This article presents effective strategies for educators of young children to promote children's mathematical communications, which include think-aloud during individual work time, utilizing reasoning and proof questions, and questioning back to children.
Descriptors: Mathematics Instruction, Communication Strategies, Protocol Analysis, Mathematical Logic
Trocki, Aaron; Taylor, Christine; Starling, Tina; Sztajn, Paola; Heck, Daniel – Teaching Children Mathematics, 2014
The idea of elementary school students working together on mathematical tasks is not new, but recent attention to creating purposeful discourse in mathematics classrooms prompts teachers to revisit discourse-promoting strategies for mathematics lessons. The Common Core's Standards for Mathematical Practice (CCSSI 2010) encourage teachers to…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Teaching Methods, Discussion (Teaching Technique)
Woodward, John; Beckmann, Sybilla; Driscoll, Mark; Franke, Megan; Herzig, Patricia; Jitendra, Asha; Koedinger, Kenneth R.; Ogbuehi, Philip – What Works Clearinghouse, 2012
The Institute of Education Sciences (IES) publishes practice guides in education to bring the best available evidence and expertise to bear on current challenges in education. Authors of practice guides combine their expertise with the findings of rigorous research, when available, to develop specific recommendations for addressing these…
Descriptors: Mathematics Instruction, Problem Solving, Educational Research, Evidence
Ellis, Arthur K.; Denton, David W. – Eye on Education, 2010
This book offers easy-to-use classroom strategies for middle and high school Mathematics and Science classrooms. They demonstrate how teaching, learning, and assessment are inseparable and seamless. Each strategy will engage your students in activity and reflection, consuming little class time, costing nothing, and uniting the three dimensions of…
Descriptors: Middle School Teachers, Secondary School Teachers, Mathematics Instruction, Science Instruction
Jayanthi, Madhavi; Gersten, Russell; Baker, Scott – Center on Instruction, 2008
This guide for teachers is a companion piece to the meta-analysis from the Center on Instruction, "Mathematics Instruction for Students with Learning Disabilities or Difficulty Learning Mathematics: A Synthesis of the Intervention Research". Based on the findings of this report, seven effective instructional practices were identified for teaching…
Descriptors: Learning Problems, Elementary Secondary Education, Learning Disabilities, Mathematics Instruction
Cyclical Nature of Problem-Solving Process: Case Study of Trainees in a Teachers' Training Institute
Yong, Koay Chen; Saleh, Fatimah – Journal of Science and Mathematics Education in Southeast Asia, 2008
This study explores the mathematical problem-solving process of trainee teachers in a teachers' training institute. This research adopts a constructivist perspective that views learning mathematics as a process of constructing meaningful representation and knowledge as being constructed by the individual. The research methodology employs the case…
Descriptors: Constructivism (Learning), Protocol Analysis, Problem Solving, Trainees
Lampert, Magdalene – 1988
This paper describes a research and development project in teaching designed to examine whether and how it might be possible to bring the meaning of knowing mathematics in school closer to what it means to know mathematics within the descipline by deliberately altering the roles and responsibilities of teacher and students in classroom discourse.…
Descriptors: Elementary School Mathematics, Grade 5, Hypothesis Testing, Intermediate Grades
Moss, Barbara, Ed.; Lapp, Diane, Ed. – Guilford Publications, 2009
Upper-elementary students encounter a sometimes dizzying array of traditional and nontraditional texts both in and outside of the classroom. This practical handbook helps teachers in grades 4-6 harness the instructional potential of fiction, poetry, and plays; informational texts; graphic novels; digital storytelling; Web-based and multimodal…
Descriptors: Reading Comprehension, Protocol Analysis, High Stakes Tests, Cartoons
Lockhead, Jack – 1989
This paper describes the implications of constructivism both for what to teach and for how to teach. The first part discusses three approaches on what to teach: (1) relating mathematical knowledge to other knowledge; (2) checking for self-consistency; and (3) putting thinking before facts. The second part is on how to teach based on…
Descriptors: College Mathematics, Concept Formation, Concept Teaching, Higher Education

Stiff, Lee V. – School Science and Mathematics, 1988
Problem solving by example is an intermediate step toward mastering problem-solving heuristics. Discussed are problem-solving processes by using two problem examples. Emphasized are heuristics cataloging in a problem-solving log, and approaches to solutions, not the solutions themselves. (YP)
Descriptors: Heuristics, Mathematical Concepts, Mathematics Achievement, Mathematics Education

Mack, Nancy K. – Journal for Research in Mathematics Education, 1990
Examines the development of students' understandings about fractions during six weeks of instruction. Reports that all students possessed informal knowledge disconnected from their knowledge of fraction symbols and procedures and that knowledge of rote procedures often interfered with students' attempts to build on their informal knowledge.…
Descriptors: Arithmetic, Concept Formation, Concept Teaching, Elementary Education
Borasi, Raffaella – 1989
The purpose of this study is to contribute to an understanding of how errors could be employed in mathematics instruction so that the students use them constructively in support of their learning of mathematics. A teaching experiment was designed to create an ideal context in which the pedagogical approach to errors as springboards could be…
Descriptors: Classification, Definitions, Error Patterns, Mathematical Concepts

Clement, John; Konold, Clifford – For the Learning of Mathematics, 1989
Describes basic problem-solving skills and presents a protocol of a student solving a problem. Discusses some of the difficulties in obtaining a correct solution. Lists basic prompts for problem solving. (YP)
Descriptors: College Mathematics, Higher Education, Mathematics Instruction, Mathematics Skills
Clement, John; Konold, Clifford – 1989
Teaching students to think mathematically or to apply mathematics to the solution of real-world problems has become a national priority. This paper explores a method of developing the basic problem-solving skills in a remedial mathematics course at the college freshman level. The first part of this paper describes some basic problem-solving skills…
Descriptors: College Mathematics, Higher Education, Mathematical Applications, Mathematical Enrichment