Science and Mathematics Education Commons^™

Planting The Seeds Of Computational Thinking: An Introduction To Programminsuitable For Inclusion In Stem Curriculag, Eric Freudenthal, Art Duval, Sarah Hug, Alexandria Ogrey, Kien Lim, Catherine Tabor

Departmental Papers (Math)

Inadequate math preparation discourages many capable students – especially those from traditionally underrepresented groups – from pursuing or succeeding in STEM academic programs. iMPaCT is a family of―"Media Propelled" courses and course enrichment activities that introduce students to―"Computational Thinking." iMPaCT integrates exploration of math and programmed computation by engaging students in the design and modification of tiny programs that render raster graphics and simulate familiar kinematics. Through these exercises, students gain experience and confidence with foundational math concepts necessary for success in STEM studies, and an understanding of programmed computation. This paper presents early results from our formal evaluation of …

Discovering And Developing Diverse Stem Talent: Enabling Academically Talented Urban Youth To Flourish, Stephanie Pace Marshall, Glenn W. "Max" Mcgee, Eric Mclaren, Catherine C. Veal

Publications & Research

The Growing Excellence Gap in K-12 Education, Plucker, Burroughs, and Song (2010) provided compelling evidence that "the presence of an excellence gap is demonstrated on both national and state assessments of student performance," with "economically disadvantaged, English Language Learners, and historically underprivileged minorities representing a smaller proportion of students scoring at the highest levels of achievement" (p. 28). Three "case stories" of students from IMSA illuminate some of the (a) challenges and opportunities inherent in igniting STEM talent in urban youth and ensuring their success; (b) principles for designing and creating learning experiences and environments that ignite and nurture the …

Teaching English Language Learners In Mainstream Science Classrooms: Teacher Practice And Educational Opportunity, Carlotta Dorothy Schroeder

Wayne State University Dissertations

Equal educational opportunity for English language learners (ELLs) has been a goal of the public educational system in the United States. Language policy reforms have increasedaccountability in order for schools to improve student achievement and measure the progress of ELLs. The No Child Left Behind Act (NCLB) requires assessment and accountability. In this study, the number of ELLs has increased significantly at the high school level and school district as a whole.

Along with the changing demographics, the findings reveal a district-wide policy of equalizing educational opportunity through equal treatment. Language policies provide critical decisions about how to measure what …

Efficacy Of A Summer Intervention To Improve Gateway Mathematics Examination Scores, Arthur Wesley Jackson

Walden Dissertations and Doctoral Studies

Less than 50% of students from an inner-city high school in a southeastern US state who took the GATEWAY mathematics exam (2001-2007) earned a passing score on the first attempt, prompting teachers at the school to begin a summer intervention program based on Bandura's Self Efficacy Theory, to help them succeed on a subsequent reexamination. The program featured (a) extended learning time, (b) mastery learning, (c) direct instruction, (d) single-sex grouping, and (e) teacher collaboration. A survey of recent scholarly literature indicated that these 5 characteristics positively impact student learning and performance. The goal was to increase student understanding of …

A Mixed Methods Study Of How The Transition Process Impacts The Autonomy Of Pre-Service Secondary Mathematics Teachers, Linda Kasal Fusco

Department of Educational Administration: Dissertations, Theses, and Student Research

This mixed methods study sought to identify the impact that transition into the practice of teaching had on the autonomy of pre-service secondary teachers of Mathematics.  It was based on the belief that a Mathematics teacher’s autonomy depended on: beliefs about Mathematics and how it was learned, reflections on the teaching practice, and social constraints of a secondary school culture. Data was collected between January 2009 and March 2010.  In Phase I (Quantitative) the participants (N = 30), selected from ten State University of New York teacher preparation colleges and universities, completed five instruments to quantify the three factors of …

Opportunity To Learn (Otl) And The Alignment Of Upper Division Mathematics Learning Outcomes, Textbooks, And The National Assessment In Belize, Gabriel Cal

USF Tampa Graduate Theses and Dissertations

In this study I investigate the degree of alignment among the learning outcomes, textbooks, and the national assessment in Belize. To establish the degree of alignment, Webb‘s Four Cognitive Levels of Depth of Knowledge was used to analyze the levels of cognitive demand for each curriculum. The degree of alignment of the learning outcomes with the test items and textbooks was used to determine the extent to which the textbooks provide students with the opportunity to study the learning outcomes assessed by the national assessment. The opportunity to learn (OTL) measures addressed were the curricular content coverage and types of …

An Exploration Of Worldview And Conceptions Of Nature Of Science Among Science Teachers At A Private Christian High School, Kara M. Kits

Dissertations

Both worldview and conceptions of nature of science (NOS) are important components in teaching and learning science. However, few empirical studies have examined the interplay between both of these components for teachers or students. Therefore, this study examines the possible relationship between worldview and conceptions of nature of science for secondary science teachers who currently teach at a Christian school.

Qualitative methodologies developed a rich description of the worldview beliefs and conceptions of NOS for teachers in this study. Eight secondary science teachers employed at a private Christian school participated in the study. A Views of Nature of Science (VNOS) …

An Exploration Into How Physical Activity Data-Recording Devices Could Be Used In Computer-Supported Data Investigations, Victor R. Lee, Maneksha Dumont

Instructional Technology and Learning Sciences Faculty Publications

There is a great potential opportunity to use portable physical activity monitoring devices as data collection tools for educational purposes. Using one such device, we designed and implemented a weeklong workshop with high school students to test the utility of such technology. During that intervention, students performed data investigations of physical activity that culminated in the design and implementation of their own studies. In this paper, we explore some of the mathematical thinking that took place through a series of vignettes of a pair of students engaged in analyzing some of their own activity data. A personal connection to the …

Teachers’ Knowledge About The Nature Of Mathematics: A Survey Of Secondary School Teachers In Karachi, Pakistan, Munira Amirali, Anjum Halai

Institute for Educational Development, Karachi

This study presents the findings from a study which explored patterns in teachers’ knowledge about the nature of mathematics. A survey questionnaire was developed and distributed to 200 secondary school mathematics teachers teaching in public and private schools in Karachi, Pakistan. Exploratory factor analysis was performed which showed patterns in teachers’ view about the nature of mathematics. The analysis illustrates that teachers hold contradicting views about the nature of mathematics i.e. mathematics, both as discovered as well as invented body of knowledge. Moreover, teachers irrespective of their professional qualification, considered mathematical knowledge as ‘truth’, where mathematical rules can never be …

A Case Study Of The Mathematical Learning Of Two Teachers Acquiring Mathematical Knowledge For Teaching, David R. Hartman

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This study offers an analysis of the learning of practicing teachers as they acquire a deeper knowledge of mathematics. While some professional developers have shifted part of their focus to helping practicing teachers acquire a deeper knowledge of mathematics (e.g., Stein & Silver, 1996), the results from studies often describe what translates from the professional development experience into classroom practice and measureable gains in student achievement (e.g., Desimone et al., 2002). Studies showing improvements in pedagogy and student learning are important. However, studying what teachers are learning and how they learn is important in developing understanding of the content and …

Inferring Impulsive-Analytic Disposition From Written Responses, Kien Lim, Miguel Mendoza

Selected Works Temporary Series

Impulsive disposition refers to one’s proclivity to spontaneously proceed with an action that comes to mind without checking its relevance. Analytic disposition refers to one’s proclivity to analyze a problem situation and establishes a goal to guide one’s actions. An instrument, called the likelihood-to-act survey, was developed to measure students’ impulsive-analytic disposition. In this study, we sought to test and refine this instrument by analyzing 92 participants’ written responses to open-ended questions that were adapted from items in the likelihood-to-act survey. We found relatively strong correlations between participants’ disposition scores for written responses and those from the likelihood-to-act survey.

Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien Lim

Selected Works Temporary Series

The idea of “mathematical habits of mind” has been introduced to emphasize the need to help students think about mathematics “the way mathematicians do.” There seems to be considerable interest among mathematics educators and mathematicians in helping students develop mathematical habits of mind. The objectives of this working group are: (a) to continue the discussion of various views and aspects of mathematical habits of mind begun at PME-NA 31, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. In the Proceedings of PME-NA 31, we provided an overview of …

Inferring Impulsive-Analytic Disposition From Written Responses, Kien Lim, Miguel Mendoza

Departmental Papers (Math)

Impulsive disposition refers to one’s proclivity to spontaneously proceed with an action that comes to mind without checking its relevance. Analytic disposition refers to one’s proclivity to analyze a problem situation and establishes a goal to guide one’s actions. An instrument, called the likelihood-to-act survey, was developed to measure students’ impulsive-analytic disposition. In this study, we sought to test and refine this instrument by analyzing 92 participants’ written responses to open-ended questions that were adapted from items in the likelihood-to-act survey. We found relatively strong correlations between participants’ disposition scores for written responses and those from the likelihood-to-act survey.

Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien Lim

Departmental Papers (Math)

The idea of “mathematical habits of mind” has been introduced to emphasize the need to help students think about mathematics “the way mathematicians do.” There seems to be considerable interest among mathematics educators and mathematicians in helping students develop mathematical habits of mind. The objectives of this working group are: (a) to continue the discussion of various views and aspects of mathematical habits of mind begun at PME-NA 31, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. In the Proceedings of PME-NA 31, we provided an overview of …

A Study Of The Relationships Between Epistemological Beliefs And Self-Regulated Learning Among Advanced Placement Calculus Students In The Context Of Mathematical Problem Solving, James Clinton Stockton

Dissertations, Theses and Capstone Projects (Full IR Collection)

Secondary mathematics educators advocating constructivist-oriented instruction face the dilemma of developing students’ problem-solving skills. Students’ epistemological beliefs and self-regulated learning (SRL) processing capacity influence mathematical problem-solving prowess. This multiple-case study explored the relationships between epistemological beliefs and SRL processing while advanced mathematics students engaged in problem-solving tasks and investigated students’ SRL strategy use, heuristic strategy use, and problem-solving performance. Data sources included think-aloud and interview transcriptions, student work, and classroom observation protocols. Validity and reliability were enhanced via member-checking interviews, triangulation, peer review, and completion of a case study database. Five major findings emerged from the data: (1) participants’ unique/arbitrary …

Problem Solving Based Instruction In The High School Mathematics Classroom, Lawrence Vettleson, Jr.

Mathematics Graduate Theses

This paper is a review of research pertaining to the use of problem solving in classroom instruction. It covers the stages of problems solving as listed by George Polya and how they can be used to enhance mathematics instruction. This research paper will identify that problem solving is a need based on Minnesota state mathematics standards and National mathematics standards. Covered in this paper is the research on the effects of mathematics instruction using problem solving. The research covers some of the benefits to student education if students learn mathematics using a problem solving based approach to classroom instruction.

Project Stimmulis: Science Teachers Integrating Mathematical Modeling For Undergraduate Learning And Instruction In Schools, William Robertson, David Carrego

Selected Works Temporary Series

Computer-based mathematical modeling in Physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for experimentation. Utilizing this method, scientists construct knowledge, and in like manner, students in science construct their understandings in significant ways, addressing their preconceptions and their knowledge of concepts in physics. Project STIMMULIS provides a mathematical modeling context for pre-service mathematics and science teachers’ conceptual and applied understanding of motion. Project STIMMULIS …

Project Stimmulis: Science Teachers Integrating Mathematical Modeling For Undergraduate Learning And Instruction In Schools, William Robertson, David Carrego

Departmental Papers (TE)

Computer-based mathematical modeling in Physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for experimentation. Utilizing this method, scientists construct knowledge, and in like manner, students in science construct their understandings in significant ways, addressing their preconceptions and their knowledge of concepts in physics. Project STIMMULIS provides a mathematical modeling context for pre-service mathematics and science teachers’ conceptual and applied understanding of motion. Project STIMMULIS …

Dr. Skateboard’S Action Science: Increasing Science Knowledge And Skills For Middle School Teachers, William Robertson

Selected Works Temporary Series

Dr. Skateboard’s Action Science maps to the physical science Texas Essential Knowledge & Skills (TEKS) standards that all middle school students need to learn. Dr. Skateboard’s Action Science explores scientific concepts in a curriculum supplement that is designed to address both physical science content and process skills. The video instruction focuses on fundamental concepts found in the areas of motion, forces, Newton’s Laws of Motion, and simple machines. The use of familiar activities, situations and objects, such as skateboarding and bicycle motocross (BMX), around which students can explore and explain scientific concepts can be defined as action science. The main …

Dr. Skateboard’S Action Science: Increasing Science Knowledge And Skills For Middle School Teachers, William Robertson

Departmental Papers (TE)

Dr. Skateboard’s Action Science maps to the physical science Texas Essential Knowledge & Skills (TEKS) standards that all middle school students need to learn. Dr. Skateboard’s Action Science explores scientific concepts in a curriculum supplement that is designed to address both physical science content and process skills. The video instruction focuses on fundamental concepts found in the areas of motion, forces, Newton’s Laws of Motion, and simple machines. The use of familiar activities, situations and objects, such as skateboarding and bicycle motocross (BMX), around which students can explore and explain scientific concepts can be defined as action science. The main …

Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera

Departmental Papers (Math)

Impulsive disposition is an undesirable way of thinking where one spontaneously applies the first idea that comes to mind without checking its relevance. In this research, we explore (a) the possibility of helping pre-service teachers improve their disposition, from being impulsive to being analytic, in one semester, and (b) the effect of using non-proportional situations. This study involves two sections of a mathematics course for pre-service teachers for Grades 4-8. The lessons were designed whenever possible to elicit students’ impulsive disposition so that they could become cognizant of it and make conscious attempts to overcome it. Some test items were …

Re-Imagining Specialized Stem Academies: Igniting And Nurturing ‘Decidedly Different Minds,’ By Design, Stephanie Pace Marshall

Publications & Research

This article offers a personal vision and conceptual design for reimagining specialized science, technology, engineering, and mathematics (STEM) academies designed to nurture decidedly different STEM minds and ignite a new generation of global STEM talent, innovation, and entrepreneurial leadership. This design enables students to engage actively in the authentic work, modes of inquiry, and practices that distinguish four STEM learning cultures, environments, and communities: (a) Inquiry and Research Laboratory and Interdisciplinary Learning Center—develops disciplinary, interdisciplinary, and inquiry-based thinking; (b) Innovation Incubator and Design Studio—ignites innovative and design-based thinking; (c) Global Leadership and Social Entrepreneurship Institute—nurtures change leadership and systems-based thinking; …

The Relationship Between Core-Plus Mathematics Project And Student Achievement, Karen Renee Treadway-Harvel

Wayne State University Dissertations

The Third International Mathematics and Science Study (TIMSS) study revealed that test scores from high school students were below average in mathematics and science. Studies show that part of it stem from the traditional methods of teaching rather than the standards-based teaching. According to the No Child Left Behind (NCLB) act, students should receive a rigorous and relevant curriculum. The High School Content Expectations (HSCE) is a set of objectives that meet this criteria but the current curriculum still uses traditionally-based curriculum. More than 80% of textbooks located in schools today are traditionally-based. Moreover, teachers who are teaching have been …

Preservice Secondary School Mathematics Teachers' Subject Matter Knowledge Of Perimeter And Area., Wun Thiam Yew

Student Works (2010-2019)

The purpose of this study was to investigate preservice secondary school mathematics teachers (PSSMTs)' subject matter knowledge (SMK) of perimeter and area. Specifically, this study aimed to investigate PSSMTs’ five basic types of knowledge of perimeter and area, namely conceptual knowledge (CK), procedural knowledge (PK), linguistic knowledge (LK), strategic knowledge (SK), and ethical knowledge (EK). This study also aimed to investigate PSSMTs' levels (low, medium, high) of SMK of perimeter and area. Data of this study was collected using clinical interview technique. Interview sessions were recorded using digital video camera and tape recorder. Subjects of this study consisted of eight …

Grades 9-10 Algebra: Graphic Quadratics On The Coordinate Plane, Michelle Darcy

Math

This lesson is part of a total unit of graphing quadratics. Each project is tiered and allows the students to see the many different places in which math is present in the world and outside the math classroom. This is part of the Algebra curriculum. Through this lessons students will be able to graph quadratics.

Grades 9-12 Earth Science, Katie Whittaker

Science

New York state standards emphasizes the importance of connecting past and present events to possible future events. This lesson plan focuses on the geologic past as it is presented in the New York state referenced tables for Earth Science. The lesson plan features a clip from "you tube" as a hook, a RAFT assignment that embraces theories by Bloom and Gardner, a post card activity to test understanding, and a closure activity where students will predict future events based on patterns from the geological past.

High School Teachers' Perspectives On Effective Approaches For Teaching Biology To Students With Special Needs, Agnieszka Kos

Walden Dissertations and Doctoral Studies

The demands of national educational reforms require high school biology teachers to provide high quality instruction to students with and without special needs. The reforms, however, do not provide teachers with adequate teaching strategies to meet the needs of all students in the same context. The purpose of this grounded theory study was to understand high school biology teachers' perspectives, practices, and challenges in relation to teaching students with special needs. This approach was used to develop a substantive model for high school biology teachers who are challenged with teaching students with and without special needs. Data were collected via …

Dr. Skateboard’S Action Science: Teaching Physics In Context, William Robertson

Selected Works Temporary Series

Dr. Skateboard’s Action Science, a curriculum supplement which consists of video instruction and classroom activities is an example that focuses on the physical science concepts found in the areas of forces, motion, Newton’s Laws of Motion, and simple machines. The use of familiar activities, situations and objects, such as skateboarding and bicycle motocross (BMX), around which students can explore and explain scientific concepts can be defined as action science. Dr. Skateboard’s Action Science is an example of transformative education, a student-centered curriculum supplement built around interesting content linked to specific physic knowledge and skills in science. The videos and classroom …

Dr. Skateboard’S Action Science: Teaching Physics In Context, William Robertson

Departmental Papers (TE)

Dr. Skateboard’s Action Science, a curriculum supplement which consists of video instruction and classroom activities is an example that focuses on the physical science concepts found in the areas of forces, motion, Newton’s Laws of Motion, and simple machines. The use of familiar activities, situations and objects, such as skateboarding and bicycle motocross (BMX), around which students can explore and explain scientific concepts can be defined as action science. Dr. Skateboard’s Action Science is an example of transformative education, a student-centered curriculum supplement built around interesting content linked to specific physic knowledge and skills in science. The videos and classroom …

Assessing Problem-Solving Dispositions: Likelihood-To-Act Survey, Kien Lim, Osvaldo Morera, Mourat Tchoshanov

Selected Works Temporary Series

This paper reports an ongoing study that is aimed at developing an instrument for measuring two particular problem-solving dispositions: (a) impulsive disposition refers to students’ proclivity to spontaneously proceed with an action that comes to mind, and (b) analytic disposition refers to the tendency to analyze the problem situation. The instrument is under development and consists of likelihood-to-act items in which participants indicate on a scale of 1 to 5 how likely they are to take a particular action in a given situation. The instrument was administered to 318 college students, mainly pre-service teachers. Statistical analysis indicates that likelihood-to-act items …