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Sears, Ruthmae; Kersaint, Gladis; Burgos, Fernando; Wooten, Rebecca – PRIMUS, 2019

This article describes reflections of two mathematicians and a mathematics teacher educator who collaborated on the development and implementation of courses (probability and statistics connections, number concept connections, and middle school mathematics methods) for middle school mathematics preservice teachers. The instructors of the courses,…

Descriptors: Middle School Mathematics, Preservice Teachers, Knowledge Level, Mathematics Education

Stange, Katherine E. – PRIMUS, 2018

Standards-based grading, in which grading should be designed to communicate to students their current level of mastery with regards to well-articulated standards, is becoming popular at the K-12 level. As yet, the literature addressing standards-based grading at the university level is scarce. In this paper, I document my attempts to put into…

Descriptors: Academic Standards, Grading, Introductory Courses, College Mathematics

Eubanks-Turner, Christina; Beaulieu, Patricia; Pal, Nabendu – PRIMUS, 2018

The Smooth Transition for Advancement to Graduate Education (STAGE) project was a three-year pilot project designed to mentor undergraduate students primarily from under-represented groups in the mathematical sciences. The STAGE pilot project focused on mentoring students as they transitioned from undergraduate education to either graduate school…

Descriptors: Graduate Study, Transitional Programs, Disproportionate Representation, Pilot Projects

Selden, Annie; Selden, John; Benkhalti, Ahmed – PRIMUS, 2018

Many mathematics departments have instituted transition-to-proof courses for second semester sophomores to help them learn how to construct proofs and to prepare them for proof-based courses, such as abstract algebra and real analysis. We have developed a way of getting students, who often stare at a blank piece of paper not knowing what to do, to…

Descriptors: Undergraduate Students, College Mathematics, Mathematics Education, Mathematical Logic

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

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

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

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

Pudwell, Lara – PRIMUS, 2017

In this paper, we discuss the Experimental Mathematics course taught at Valparaiso University since 2009. We focus on aspects of the course that facilitate students' abilities to ask and explore their own research questions.

Descriptors: Inquiry, Mathematics, Mathematics Instruction, Mathematics Education

Farnell, Elin – PRIMUS, 2017

In this article, I present a collection of puzzles appropriate for use in a variety of undergraduate courses, along with suggestions for relevant discussion. Logic puzzles and riddles have long been sources of amusement for mathematicians and the general public alike. I describe the use of puzzles in a classroom setting, and argue for their use as…

Descriptors: Puzzles, Teaching Methods, Mathematics Education, Mathematics Instruction

Sturner, Kelly K.; Bishop, Pamela; Lenhart, Suzanne M. – PRIMUS, 2017

Interdisciplinary undergraduate research experiences often require students to work in teams with other students and researchers from different disciplines, creating a need for development of new skills in interdisciplinary collaboration. In this paper, we describe our unique efforts to mentor participants in developing these skills during our…

Descriptors: Undergraduate Study, Teamwork, Student Research, Cooperation

Gevertz, Jana L.; Kim, Peter S.; Wares, Joanna R. – PRIMUS, 2017

To be successful, junior faculty must properly manage their time in the face of expanding responsibilities. One such responsibility is supervising undergraduate research projects. Student research projects (either single or multi-student) can be undertaken as a full-time summer experience, or as a part-time academic year commitment. With many…

Descriptors: Undergraduate Students, Student Research, Mathematics Education, Mentors