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Cook, Samuel A.; Borkovitz, Debra K. – PRIMUS, 2017

In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…

Descriptors: Student Attitudes, Introductory Courses, Inquiry, Mathematics Education

von Renesse, Christine; Ecke, Volker – PRIMUS, 2017

This paper links educational psychology research about curiosity to teacher moves that are effective in an inquiry-based mathematics classroom. Three vignettes will show explicit teacher moves (staging disagreement, intriguing anecdotes, and creating a safe space) for different audiences (math majors, mathematics for liberal arts students, and…

Descriptors: Personality Traits, Inquiry, Teaching Methods, Mathematics Instruction

Piercey, Victor; Cullen, Roxanne – PRIMUS, 2017

In order to improve problem-solving dispositions, a section of an inquiry-based math sequence for first-year business students was linked with a section of our general education English sequence. We describe how the linked classes worked and compare some preliminary results from linked and unlinked sections of the math sequence.

Descriptors: Inquiry, Teaching Methods, Mathematics Instruction, Problem Solving

Miller, Nathaniel – PRIMUS, 2017

This paper describes the use of Mathematics Action Research Projects (ARPs) as a capstone experience in lieu of a Master's Thesis in a Master's program for in-service secondary teachers. The ARPs include two primary components: (i) each teacher participant conducts mathematical research that is new to them on a topic that is connected in some way…

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

Flores, Alfinio; Phelps, Christine M.; Jansen, Amanda – PRIMUS, 2017

We present a first-hand, longer-term account of one student's (Christine's) experiences in and after a mathematics inquiry course. In this course, students actively posed problems, conducted their own mathematical explorations, and wrote journal entries about their experiences. During the course, Christine found that inquiry helped her develop…

Descriptors: Transformative Learning, Mathematics Instruction, Inquiry, Problem Solving

Slavit, David; Lesseig, Kristin – PRIMUS, 2017

Applying the Mathematical Knowledge for Teaching framework, we discuss the components of teacher knowledge that might be useful in supporting mathematical inquiry, and examine ways in which we strive to develop this knowledge within a middle grades mathematics program for undergraduate students who are prospective teachers. Using sample activities…

Descriptors: Inquiry, Mathematics Instruction, Mathematics Education, Teacher Education

Buell, Catherine A.; Greenstein, Steven; Wilstein, Zahava – PRIMUS, 2017

It is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students' learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a…

Descriptors: Inquiry, Active Learning, Mathematics, Mathematics Instruction

It Is All about Inquiry: A Cross-Disciplinary Conversation about the Shared Foundations for Teaching

Firkins Nordstrom, Jennifer A.; Sumner, David Thomas – PRIMUS, 2017

This paper brings together general principles for teaching inquiry across disciplines with those generally employed in mathematics classrooms. It describes some broad principles of teaching inquiry to first-year writing students and shows how these can be employed in the context of a course on game theory in popular culture. Although undergraduate…

Descriptors: Inquiry, Writing Instruction, Mathematics Instruction, Teaching Methods

Zandieh, Michelle; Wawro, Megan; Rasmussen, Chris – PRIMUS, 2017

In this paper we address practical questions such as: How do symbols appear and evolve in an inquiry-oriented classroom? How can an instructor connect students with traditional notation and vocabulary without undermining their sense of ownership of the material? We tender an example from linear algebra that highlights the roles of the instructor…

Descriptors: Algebra, Mathematics, Mathematics Instruction, Mathematics Education

Byrne, Martha – PRIMUS, 2017

This paper discusses the author's experiences of getting advanced undergraduate math students to engage in mathematical inquiry by using games as a vehicle for exploration. The students explored the mathematics behind SET®1, Spot it!®2, Blokus®3, and Six®4. Specifically, we present the experience of the instructor and students and how the games…

Descriptors: Undergraduate Students, Advanced Students, Mathematics Education, Inquiry

Cook, S. A.; Hartman, J.; Pierce, P. B.; Seaders, N. S. – PRIMUS, 2017

As mathematics educators we want our students to develop a natural curiosity that will lead them on the path toward solving problems in a changing world, in fields that perhaps do not even exist today. Here we present student projects, adaptable for several mid- and upper-level mathematics courses, that require students to formulate their own…

Descriptors: Mathematics, Mathematics Teachers, Algebra, Problem Solving

Wagner, Elaine Rumsey; Orme, Susan Marla; Turner, Heidi Jean; Yopp, David – PRIMUS, 2017

Mathematicians use example generation to test and verify mathematical ideas; however, the processes through which undergraduates learn to productively generate examples are not well understood. We engaged calculus students in a teaching experiment designed to develop skills in productively generating examples to learn novel concepts. This article…

Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Attitude Change

Camenga, Kristin A. – PRIMUS, 2017

Inquiry is promoted as a way to engage students so that they learn more deeply; inquiry is also an end in itself, introducing students to the research process and the behaviors of a mathematician. This article reflects on an individual exploratory project used in a sophomore-level number theory course, examining how it supported student inquiry…

Descriptors: Mathematics Instruction, Inquiry, Student Attitudes, Teaching Methods

Storm, Christopher – PRIMUS, 2017

This article shares an example of a course in Combinatorics, taught at Adelphi University in Fall 2012, designed with a primary goal of engaging students in pursuing mathematics as mathematicians do. The course went beyond usual applications of inquiry-based learning in that students were also charged with the responsibility of posing the…

Descriptors: Inquiry, Mathematics Instruction, Teaching Methods, Communities of Practice

Dorée, Suzanne Ingrid – PRIMUS, 2017

How can we teach inquiry? In this paper, I offer practical techniques for teaching inquiry effectively using activities built from routine textbook exercises with minimal advanced preparation, including rephrasing exercises as questions, creating activities that inspire students to make conjectures, and asking for counterexamples to reasonable,…

Descriptors: Inquiry, Mathematics Instruction, Learning Activities, Problem Solving