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Watson, Jane; Callingham, Rosemary – Investigations in Mathematics Learning, 2016

This paper considers the responses of 115 school students to two problems based on information provided in two-way tables. In each case the question asks if one of the variables involved depends on the other. Contextual knowledge might suggest a dependent relationship in both but in one problem the data show independence while in the other the…

Descriptors: Mathematics Instruction, Problem Solving, Tables (Data), Diseases

Olson, Travis A. – Investigations in Mathematics Learning, 2016

Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…

Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics, Mathematics Instruction

Bostic, Jonathan D.; Pape, Stephen J.; Jacobbe, Tim – Investigations in Mathematics Learning, 2016

This teaching experiment provided students with continuous engagement in a problem-solving based instructional approach during one mathematics unit. Three sections of sixth-grade mathematics were sampled from a school in Florida, U.S.A. and one section was randomly assigned to experience teaching through problem solving. Students' problem-solving…

Descriptors: Educational Experiments, Grade 6, Mathematics, Mathematics Instruction

Martin, Christie; Polly, Drew – Investigations in Mathematics Learning, 2016

In this study, we examine how literacy connections with multiple step mathematics problems affected mathematics learning for 4th grade students. Three fourth grade teachers incorporated writing activities in their mathematics classroom for two weeks. The level of teacher scaffolding decreased as students progressed through the problems. The…

Descriptors: Mathematics Instruction, Teaching Methods, Literacy, Content Area Writing

Reeder, Stacy; Bateiha, Summer – Investigations in Mathematics Learning, 2016

This investigation examined the degree to which prospective elementary teachers had developed a meaningful and conceptual understanding of what integers are and explored their development of models for multiplication with integers that are related to everyday activities. Additionally, this study explored how these understandings informed…

Descriptors: Numbers, Preservice Teachers, Preservice Teacher Education, Knowledge Base for Teaching

Stickles, Paula R. – Investigations in Mathematics Learning, 2015

Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Teaching Methods, Preservice Teachers

Murray, Eileen – Investigations in Mathematics Learning, 2015

Reflection and collaboration are two activities teachers can use to change and improve their practice. However, finding the time and space to do so can be challenging. The collaborative reflective teaching cycle is a structured activity teachers can use to engage in reflection and collaboration. This article describes how a seventh grade teaching…

Descriptors: Reflective Teaching, Instructional Improvement, Mathematics Instruction, Educational Change

Developing the Practice of Teacher Questioning through a K-2 Elementary Mathematics Field Experience

Schwartz, Catherine – Investigations in Mathematics Learning, 2015

This article presents findings from research on a field experience designed to help elementary preservice teachers learn the practice of teacher questioning during formal and informal interviews to analyze student mathematical thinking in K-2 classrooms. The practice of teacher questioning is framed as choosing a mathematical goal, analyzing…

Descriptors: Preservice Teachers, Elementary School Teachers, Questioning Techniques, Teaching Methods

Green, Kris; Ricca, Bernard P. – Investigations in Mathematics Learning, 2015

Learning to compute integrals via the various techniques of integration (e.g., integration by parts, partial fractions, etc.) is difficult for many students. Here, we look at how students in a college level Calculus II course develop the ability to categorize integrals and the difficulties they encounter using a card sort-resort activity. Analysis…

Descriptors: Calculus, College Mathematics, Mathematics Instruction, Mathematics Activities

Dorko, Allison; Speer, Natasha – Investigations in Mathematics Learning, 2015

Units of measure are critical in many scientific fields. While instructors often note that students struggle with units, little research has been conducted about the nature and extent of these difficulties or why they exist. We investigated calculus students' unit use in area and volume computations. Seventy-three percent of students gave…

Descriptors: Undergraduate Students, College Mathematics, Calculus, Geometric Concepts

Beynon, Kenneth A.; Zollman, Alan – Investigations in Mathematics Learning, 2015

This mixed-methods study examines the conceptual understanding of limit among 22 undergraduate engineering students from two different sections of the same introductory differential equations course. The participants' concepts of limit (concept images and personal concept definitions) were examined using written tasks followed by one-on-one…

Descriptors: Undergraduate Students, Engineering Education, Community Colleges, Mixed Methods Research

Kosko, Karl W. – Investigations in Mathematics Learning, 2015

Prevalent characteristics of effective mathematical discourse in the literature include student autonomy, a positive social environment, and a degree of perceived mathematical competence. These characteristics are also found in Self-Determination Theory (SDT), which posits that actions are self-regulated when students' autonomy, competence, and…

Descriptors: Mathematics Instruction, Group Discussion, Discussion (Teaching Technique), Geometry

Hinton, Vanessa; Stroizer, Shaunita; Flores, Margaret – Investigations in Mathematics Learning, 2015

Number sense is one's ability to understand what numbers mean, perform mental mathematics, and look at the world and make comparisons. Researchers show instruction that teaches children how to classify numbers, put numbers in sequence, conserve numbers effectively, and count builds their number sense skills. Targeted instruction that teaches…

Descriptors: Computation, Case Studies, Young Children, Mathematics Instruction

Frederick, Michelle L.; Courtney, Scott; Caniglia, Joanne – Investigations in Mathematics Learning, 2014

The purpose of this study was to explore middle grade mathematics students' uses of scaffolding and its effectiveness in helping students solve non-routine problems. Students were given two different types of scaffolds to support their learning of sixth grade geometry concepts. First, students solved a math task by using a four square graphic…

Descriptors: Middle School Students, Secondary School Mathematics, Mathematics Instruction, Scaffolding (Teaching Technique)

Empson, Susan B. – Investigations in Mathematics Learning, 2014

Decision making during instruction that is responsive to children's mathematical thinking is examined reflexively by the researcher in the context of teaching second graders. Focus is on exploring how the research base on learning informs teaching decisions that are oriented to building on children's sound conceptions. The development of four…

Descriptors: Mathematics Instruction, Young Children, Mathematical Logic, Grade 2