Education Commons^™

Embedding Problem Solving In The Math 30x Courses, Kelli Wasserman

Q2S Enhancing Pedagogy

The Math 30x Quarter Bridge courses have been designed to bridge the gap created in curriculum, as CSUSB transitions from quarters to semesters. The four course series will soon be a three course series, with the fourth course embedded in the other three. These classes will now incorporate reading, problem solving and reflection assignments from Powerful Problem Solving by Max Ray and Thinking Around the Box by Davida Fischman and Shawnee McMurran. These classes will also serve as a model for the Fall semester courses. The following outlines the Group Projects to be incorporated into the Quarter Bridge and Semester …

Context Is Critical: K-5th Grade Three-Act Math Tasks, Lindsey Herlehy

Publications & Research

Mathematicians view mathematics within interesting and natural contexts. In this session, participants will engage and explore Three-Act Math Tasks; a story-telling pedagogical strategy that elicits student curiosity, collaboration, and questioning while redefining the term “real-world context” and the role that students play in the learning process. Resources will be provided

Why We Teach Mathematics To Every Student: Determining Impact Of Mathematics On Problem Solving And Logical Reasoning Skills, Megan Marie Harris

Williams Honors College, Honors Research Projects

The purpose of this paper is to dissect why it is important to teach mathematics to every student, even if the student does not plan on pursuing mathematics in his or her career. This paper will describe and test various reasons why mathematics is taught to every student but it will focus on math as a way to help develop and improve problem-solving and logical reasoning skills. An experiment was conducted on a random sample of fourteen University of Akron students who were measured on their problem-solving abilities and critical thinking through playing two games. These students were then compared …

Investigating Secondary Students Beliefs About Mathematical Problem-Solving, Mark Prendergast, Cormac Breen, Aibhin Bray, Fiona Faulkner, Brian Carroll, Dominic Quinn

Articles

Many studies over the past thirty years have highlighted the important role of students’ beliefs for successful problem solving in mathematics. Given the recent emphasis afforded to problem solving on the reformed Irish secondary school mathematics curriculum, the main aim of this study was to identify Irish students’ (n = 975) beliefs about the field. A quantitative measure of these beliefs was attained through the use of the Indiana Mathematical Belief Scale, an existing thirty item (five scale) self-report questionnaire. A statistical analysis of the data revealed that students who were further through their secondary education had a stronger belief …

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 …

Beyond Problem-Solving: Elementary Students’ Mathematical Dispositions When Faced With The Challenge Of Unsolved Problems, Jenna R. O'Dell

Theses and Dissertations

The goal of this study was to document the characteristics of students’ dispositions towards mathematics when they engaged in the exploration of parts of unsolved problems: Graceful Tree Conjecture and Collatz Conjecture. Ten students, Grades 4 and 5, from an after-school program in the Midwest participated in the study. I focused on the cognitive, affective, and conative aspects of their mathematical dispositions as they participated in 7 problem-solving sessions and two interviews.

With regard to cognitive aspects of the students’ dispositions, I focused on the students attempts to identify and justify patterns for labeling graphs. Overall, the unsolved problems were …

Structural-Symbolic Translation Fluency: Reliability, Validity, And Usability, Matt C. Hoskins

Electronic Theses and Dissertations

Standardized formative mathematics assessments typically fail to capture the depth of current standards and curricula. Consequently, these assessments demonstrate limited utility for informing the instructional implementation choices of teachers. This problem is particularly salient as it relates to the mathematical problem solving process. The purpose of this study was to develop and evaluate the psychometric characteristics of Structural-Symbolic Translation Fluency, a curriculum-based measure (CBM) of mathematical problem solving. The development of the assessment was based on previous research describing the cognitive process of translation (Mayer, 2002) as well as mathematical concept development at the quantitative, structural, and symbolic levels (Dehaene, …

Changing The Culture: Developing Creative Problem Solvers, Eric L. Mann

Faculty Presentations

Mathematics embraces creativity and beauty yet often our children are immersed in classroom activities where these attributes are hidden by an overemphasis on algorithms, computational speed and known answers that can be found in the back of the book or with a quick Google search. This learning environment creates a false perception of what it means to be “good at math.” From the research we know than many of our elementary school teachers have negative attitudes towards mathematics; an attitude students pick up and adopt which may foster the development of the reluctant, impatient problem solvers we find in our …

Northeast Tennessee Educators’ Perception Of Stem Education Implementation, Kristin Turner

Electronic Theses and Dissertations

A quantitative nonexperimental survey study was developed to investigate Northeast Tennessee K-8 educators’ perceptions of STEM education. This study was an examination of current perceptions of STEM education. Perceived need, current implementation practices, access to STEM resources, definition of STEM, and the current condition of STEM in Northeast Tennessee were also examined. The participating school districts are located in the Northeast Region of Tennessee: Bristol City Schools, Hamblen County Schools, Johnson City Schools, Johnson County Schools, Kingsport City Schools, Sullivan County Schools, and Washington County Schools. Educational professionals including both administrators and teachers in the elementary and/or middle school setting …

Incorporating Pólya’S Problem Solving Method In Remedial Math, Shenglan Yuan

Journal of Humanistic Mathematics

György Pólya’s problem solving method has influenced generations of mathematicians and non-mathematicians alike. Though almost all math teachers have come across Pólya’s problem solving method, his ideas are not regularly implemented in the classroom. Few studies have examined the effectiveness of his approach in teaching remedial math. In this article we revisit this once well-known teaching method and show how it can be used in basic skills math classes to ease student fears of math, and potentially change their common misconceptions of the subject.

Mathematical Tasks Without Words And Word Problems: Perceptions Of Reluctant Problem Solvers, Sydney Margaret Holbert

Electronic Theses and Dissertations

This qualitative research study used a multiple, holistic case study approach (Yin, 2009) to explore the perceptions of reluctant problem solvers related to mathematical tasks without words and word problems. Participants were given a choice of working a mathematical task without words or a word problem during four problem-solving sessions. Data were gathered from problem-solving sessions, in the form of session transcripts, written reflections, and interviews to determine how the reluctant problem solvers perceived the problems presented in each session. Participants' views of the problems before and after working were recorded and thick descriptions of the sessions including quotes from …

Investigating The Validity Of A Survey Intended To Gauge Mathematics Problem-Solving Disposition Along The Impulsive-Analytic Dimension, Miguel Mendoza

Open Access Theses & Dissertations

This study investigates the validity of the Likelihood-to-Act (LtA) survey developed to assess respondents' problem-solving disposition along the impulsive-analytic dimension. Sixteen pre-service teachers were strategically selected from a pool of 495 LtA survey respondents to participate in a semi-structured task-based interview approximately one hour in length. The interview consisted of three main parts: a problem solving section, a consistency section, and a classification section.

* Part 1 of the interview was developed to get interviewees to solve five open-response problems meant to elicit an impulsive response. Interviewees were also asked to verbalize their thought process in order for the researchers …

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 …

Second Graders' Solution Strategies And Understanding Of A Combination Problem, Tiffany Marie Hessing

Theses and Dissertations

I inquire about second graders' capabilities of developing solution strategies and the original variety of strategies they bring forth while solving a combination problem. Based on analysis of the data presented in this paper, students developed five different general strategies. After analyzing what the second grade students were capable of developing, we can conclude that young children are capable of developing powerful systematic strategies grounded in their personal experiences. This research shows that even when the teacher does not foster personal agency, children will still exercise agency. The social interactions in the classroom helped students learn to propose mathematical ideas, …

The Effects Of Journal Writing On Student Attitudes And Performance In Problem Solving, Christine Quinones

Electronic Theses and Dissertations

This study summarizes research conducted in a second grade classroom at a rural elementary school in the fall of 2004. This study investigated the practice of using writing activities in mathematics to improve student attitudes and performance in problem solving. The classroom teacher supplemented traditional mathematics instruction with daily problem solving activities and affective journal writing. Students were asked to complete daily problem solving prompts and write about their problem-solving solutions. Attitude data was collected using a pre and post attitude survey as well as affective journal writing assignments. Performance data was collected using a performance based problem-solving rubric. Results …

An Integrated Math Curriculum Designed To Develop Problem Solving Skills In Third Grade Students, Nwaynna Bernadette Stewart

All Graduate Projects

The effectiveness of a curriculum integrating math, manipulative use, writing, drama and the visual arts was examined. The information gathered through research articles and case studies was used to create an integrated math program. The focus of the project is to strengthen problem solving and critical thinking skills of third grade students. The project is designed to supplement materials and textbooks teachers are currently using in their classrooms. Implications for future areas of research are discussed.

[Accepted Version] Empowering Families In Hands‐On Science Programs, James Shymansky, Larry Yore, Brian Hand

Educator Preparation & Leadership Faculty Works

This paper presents the results of the Science Parent, Activities, and Literature (Science PALs) project. This project aims to promote parent involvement in children's hands-on science education by using take-home, literature-based inquiry, problem solving, and design activities that connect school and home. Parents are the most effective source of positive or negative attitude influences toward science and mathematics. The lack of science in home environments depends largely upon parents' fear or lack of success in science. The Science PALs project uses parents as a key instructional factor and involves them in their children's education. Teachers help parents in this involvement …