Science and Mathematics Education Commons^™

Teaching With A Full Deck: Card Sorts, Lindsey Herlehy

Publications & Research

Card sorts tend to make students do the “thing” we value most: talk. Beyond making matches, card sorts provide opportunities for students to classify, rank, sequence, and mind map while setting a natural context for argumentation and use of the claim-evidence-reasoning framework. Join me for a series of card sorts to explore how this easy-to-prep tool will encourage your students to reason and think critically. Math and science resources will be shared.

Resources available below for download include all cards used in the training.

Connecting Advanced And Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, Diana White

Department of Mathematics Facuty Scholarship and Creative Works

There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers simply because the content is inherently related. In this paper, we instead argue that there are connections between advanced mathematics and secondary mathematics that directly influence teaching. These are not discussions of the mathematical connections, per se, but rather discussions of specific ways in which knowing mathematical connections might influence secondary teachers’ …

Strongly And Weakly Directed Approaches To Teaching Multiple Representation Use In Physics, Patrick B. Kohl, David Rosengrant, Noah D. Finkelstein

David Rosengrant

Good use of multiple representations is considered key to learning physics, and so there is considerable motivation both to learn how students use multiple representations when solving problems and to learn how best to teach problem solving using multiple representations. In this study of two large-lecture algebra-based physics courses at the University of Colorado (CU) and Rutgers, the State University of New Jersey, we address both issues. Students in each of the two courses solved five common electrostatics problems of varying difficulty, and we examine their solutions to clarify the relationship between multiple representation use and performance on problems involving …

Riding The Mathematical Merry-Go-Round To Foster Conceptual Understanding Of Angle, Ron Tzur, Matthew Clark

Ron Tzur

This article presents playful activities for fostering students' conceptual understanding of angle--a root concept in mathematics--that revolve around the Mathematical Merry-Go-Round game. The authors focus on activities for two reasons. On one hand, NCTM's Principles and Standards for School Mathematics (2000) stresses the central role of student activity in coming to understand mathematics. This emphasis is consistent with a constructivist stance (Piaget 1971) about learning as an active process. On the other hand, typical activities used for teaching angle, in which an introduction of the definition is followed by operations on angles, such as measuring, adding, comparing, and classifying, seem …

Fine Grain Assessment Of Students' Mathematical Understanding: Participatory And Anticipatory Stages In Learning A New Mathematical Conception, Ron Tzur

Ron Tzur

This study addressed a twofold problem--the soundness of a theoretical stage-distinction regarding the process of constructing a new (to the learner) mathematical conception and how such distinction contributes to fine grain assessment of students' mathematical understandings. As a context for the study served the difficult-to-grasp concept of "inverse" order relationship among unit fractions, that is, the larger the number of parts the smaller the size of each part (e.g., 1/7 greater than 1/10 although 10 greater than 7). I conducted this study as a whole-class teaching experiment in a third grade classroom at a public school in Israel. The qualitative …

From Theory To Practice: Explaining Successful And Unsuccessful Teaching Activities (Case Of Fractions), Ron Tzur

Ron Tzur

In a teaching experiment, I examined a theoretical model of mathematics teaching and learning in practice. In this paper I focus on how the model can guide the teacher's thinking about students' understandings and the generation of activities that foster intended transformations in those understandings. As a research-teacher I taught, twice a week for four months, basic ideas of fractions to 28 third graders, in a public school in Israel. The analysis of both classroom data and researcher's documented reflections indicates how the model can empower the generation and explanation of successful teaching activities, as well as thinking about and …

The Effectiveness Of Active And Traditional Teaching Techniques In The Orthopedic Assessment Laboratory, Sara Nottingham

Athletic Training Faculty Articles and Research

Active learning is a teaching methodology with a focus on student-centered learning that engages students in the educational process. This study implemented active learning techniques in an orthopedic assessment laboratory, and the effects of these teaching techniques. Mean scores from written exams, practical exams, and final course evaluations were compared for 79 human physiology students. One- and two-way analyses of variance were used to evaluate the effect of teaching methodology on test scores and evaluation responses. No significant differences were found for course evaluation responses and written and practical exam scores between the two learning groups. This study suggests that …

Strongly And Weakly Directed Approaches To Teaching Multiple Representation Use In Physics, Patrick B. Kohl, David Rosengrant, Noah D. Finkelstein

Faculty and Research Publications

Good use of multiple representations is considered key to learning physics, and so there is considerable motivation both to learn how students use multiple representations when solving problems and to learn how best to teach problem solving using multiple representations. In this study of two large-lecture algebra-based physics courses at the University of Colorado (CU) and Rutgers, the State University of New Jersey, we address both issues. Students in each of the two courses solved five common electrostatics problems of varying difficulty, and we examine their solutions to clarify the relationship between multiple representation use and performance on problems involving …

Are You What You Eat? An Inside Look At High-Tech Food, Roxanne Greitz Miller

Education Faculty Articles and Research

If we abide by the familiar saying "you are what you eat," it is understandable that people may be concerned with the incredible advances in food science technology and their possible impacts on human health. For example, in recent years high-tech scientific processes such as genetic modification, irradiation, and cloning have all been used to increase the safety of food supply, create foods that are more appealing to eat and easier to produce, and increase crop yields. This article will summarize a few hot topics in food science, address what is currently known about the safety of these processes, and …

The Esa21 Project: A Model For Civic Engagement, John Pratte, Matthew Laposata

Faculty and Research Publications

There have been many systematic approaches to solving the problem of how to make science courses interesting to students. One that is currently receiving attention in the sciences is the use of civic engagement within the classroom. This approach works well in small enrollment courses, but it is logistically difficult to implement in large enrollment courses. Large enrollment classes lend themselves more naturally to other civic engagement approaches, such as special topics courses with individual or group research projects. The authors choose to meld the two approaches, thus creating a collection of activity modules for environmental science courses that use …

How To Find Students’ Inner Geek, Marc Zimmer

Chemistry Faculty Publications

As a chemistry professor at a liberal-arts college, the author believes it is his job to find the youthful awe in his students and draw it out so that they will be intrigued once again by science and nature, so that they want to learn about equilibria, pH, and redox reactions. He has to go fishing inside their brains, to find, hook, and reel in their scientific spirit. Most of the students he teaches have not yet deeply suppressed their inner science geek. He can hook almost all of them if he uses the lures available to professors everywhere: enthusiasm, …

Setting Fires To Stem Cell Research, Roxanne Greitz Miller

Education Faculty Articles and Research

The goal of this lesson is to present the basic scientific knowledge about stem cells, the promise of stem cell research to medicine, and the ethical considerations and arguments involved. One of the challenges of discussing stem cell research is that the field is constantly evolving and the most current information changes almost daily. Few science texts contain stem cell information, and those that do are generally written at a reading level above that of a typical middle grade student. In the lesson, students are introduced to the FIRES strategy and given an opportunity to evaluate stem cell information from …

Making Thinking Visible: A Method To Encourage Science Writing In Upper Elementary Grades, Roxanne Greitz Miller, Robert C. Calfee

Education Faculty Articles and Research

In order to make a dramatic change in the way teachers approach science writing, the authors found it necessary to address both science instruction as a whole and the use of writing during various stages. To guide them in this endeavor and communicate a concrete idea of an ideal foundation for highly effective science writing to teachers, the authors turned to the CORE Model of Instruction. The CORE Model on instruction, which was originally developed as a representation of the manner in which reading and writing can be linked and reinforcing to each other, is described in this article. The …

A Study Of Changes In Students' Science Attitudes, Awareness And Achievement Across Three Years As A Function Of The Level Of Implementation Of Interactive-Constructivist Teaching Strategies Promoted In A Local Systemic Reform Effort., James Shymansky, Larry Yore, John Anderson

Educator Preparation & Leadership Faculty Works

This study explored the cumulative effect of three years of exposure to teaching strategies being promoted in a local school district's systemic reform on elementary students' attitudes towards school science, awareness of science careers, and science achievement. The reform effort, referred to as the "Science: Parents, Activities, and Literature" (Science PALs) program focused on incorporating children's literature and parent partners using an interactive-constructivist epistemology as its base. Individual teachers were rated by the school district's science coordinator on their use of specific Science PALs strategies. Student attitudes and awareness were assessed with a paper and pencil survey developed for this …

Students' Perceptions And Supervisors' Rating As Assessments Of Interactive-Constructivist Science Teaching In Elementary School., James Shymansky, Larry Yore, Laura Henriques, John Dunkhase, Jean Bancroft

Educator Preparation & Leadership Faculty Works

This study took place within the context of a four-year local systemic reform effort collaboratively undertaken by the Science Education Center at the University of Iowa and the Iowa City Community School District. The goal of the project was to move teachers towards an interactive-constructivist model of teaching and learning that assumes a middle-of-the-road interpretation of constructivism, where hands-on activities are used selectively and purposefully to challenge students' ideas, promote deep processing, and achieve conceptual change. The research focus of this study was to verify the use of students' perceptions and attitudes and the supervisor's ratings as measures of teachers' …

Do Students Really Notice? A Study Of The Impact Of A Local Systemic Reform., James Shymansky, Larry Yore, John Dunkhase, Brian Hand

Educator Preparation & Leadership Faculty Works

This paper describes a major reform effort of an elementary science curriculum called the Science: Parents, Activities, and Literature (Science PALs) Project. The goal of the project was to move teachers towards an interactive-constructivist model of teaching and learning that assumes a middle-of-the-road interpretation of constructivism where hands-on activities are used selectively and purposefully to challenge students' ideas, promote deep processing, and achieve conceptual change. The program also enriches the cross-curricular connections of the science units and promotes meaningful parental involvement. A broad question was raised as to whether or not students really notice. This study explored elementary school students' …

Students' Perceptions Of Science Teaching And Attitudes Toward Science Learning And Teachers' Self-Report Of Using Children's Ideas, Applications Of Science, And Use Of Print Resources As Indicators Of Interactive-Constructivist Teaching In Elementary Schools., Larry Yore, James Shymansky, Laura Henriques, Brian Hand, John Dunkhase, Joanne Lewis

Educator Preparation & Leadership Faculty Works

This paper describes a study that took place within the context of the Science: Parents, Activities, and Literature (Science PALs) project. Particularly, the study sought to determine answers to the following questions: (1) What are the internal consistencies and substantive, external, and structural validities of students' perceptions, teachers' self-reports, evaluations of videotaped classroom science teaching, and expert ratings? and (2) Can students' perceptions and attitudes and teachers' self-reports be used as acceptable surrogate measures for videotaped interactive constructivist science teaching? Findings suggest that instruments based on social constructivism do not completely and accurately document science teaching based on interactive-constructivist assumptions.