Science and Mathematics Education Commons^™

Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake

Dr Hilary Hollingsworth

Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …

Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake

Dr Hilary Hollingsworth

Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …

Thinking Maths: Learning Impact Fund Evaluation Report: Addendum To The Evaluation Report, Katherine Dix, Hilary Hollingsworth, Toby Carslake

Dr Katherine Dix

Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …

Thinking Maths: Learning Impact Fund Evaluation Report: Evaluation Report And Executive Summary, Katherine Dix, Hilary Hollingsworth, Toby Carslake

Dr Katherine Dix

Thinking Maths is a three-term structured professional learning program for Years 6 - 9 mathematics teachers to engage middle school students’ mathematics learning. The Thinking Maths program has been developed by the South Australian Department for Education based on its Teaching for Effective Learning (TfEL) Framework. The program aims to address a significant drop in students’ mathematics performance in NAPLAN from Years 7 to Year 9. Thinking Maths supports teachers to improve students’ learning of mathematical content during the transition between Primary and Secondary school. Years 6 - 9 teachers participate in five professional learning days at 4 - 5 …

Reflections On Math Students’ Circles: Two Personal Stories From Colorado, Diana White, Lori Ziegelmeier

Lori Beth Ziegelmeier

Math Students’ Circles provide an opportunity for mathematicians to work in their communities to engage young students in mathematics as a human, aesthetic, and social endeavor. Sometimes referred to simply as Math Circles, these venues give mathematicians experience in introducing children to topics not typically seen in school curricula in an exciting, hands-on format. This article explores two Math Students’ Circles (MSCs) in the state of Colorado from the point of view of two pre-tenure faculty members. One participated in MSCs for four years while working on her Ph.D. in mathematics, the other started an MSC as an offshoot of …

Middle Grade Teachers’ Perceptions Of Their Chemistry Teaching Efficacy: Findings Of A One Year Long Professional Development Program, Issaou Gadp, Geeta Verma, Doris Simonis

Geeta Verma

A professional development (PD) program, Conceptual Chemistry for Middle School Teachers, was designed to facilitate teachers’ learning and teaching of basic chemistry concepts. This study explored (a) whether the PD increased teachers’ self-efficacy and teaching outcome expectancy and (b) how the PD program influenced teachers’ chemistry content knowledge and attitudes toward learning chemistry concepts. Thirty-six teachers (N = 36; 26 women, 10 men) who taught grades 5-9 were selected from a population of science teachers in north eastern Ohio. A mixed method approach was used in the study and qualitative and quantitative data were collected and analyzed simultaneously. The quantitative …

Science And Society In The Classroom: Using Sociocultural Perspectives To Develop Science Education, Geeta Verma

Geeta Verma

In 21st-century America, one of the goals of the education is to successfully prepare students for their meaningful, sustained, and robust participation in a democratic society. In the context of K–12 science education, this means educating students so that they develop into future adult citizen capable of considering and deciding on conflicting issues and policies influenced by science, technology, and sustainability issues. The challenge for science education is thus to find successful ways to integrate content, pedagogy, and citizenship education.

It is important to examine curricular approaches in science classrooms since most of the science education a student receives take …

Evaluation Of The State Of Georgia's School Instructional Extension Program (Siep) At One Middle School, Taiesha Adams

Taiesha Adams

This study examined the implementation of the State of Georgia's School Instructional Extension Program (SIEP) at one middle school in a rural school district. SIEP was adopted in this district in an effort to improve outcomes for students who demonstrate deficiencies in core-academic subjects. For the past 2 years, SIEP has been used at this study site to address low academic performance in the area of mathematics. However, to date, school leaders have not developed a system to evaluate the efficacy of the program. The purpose of this project study was to conduct a comprehensive program evaluation that addressed the …

Fostering Preservice Teacher Identity In Science Through A Student-Selected Project, D.J. Wink, J. Ellefson, M. Nishimura, D. Perry, S. Wenzel, Jeong Hwang Choe

Jeong Choe

This article addresses the problem of authentic student engagement in the science classroom by incorporating a semester long research and writing assignment that enables students to investigate scientific topics related to strong personal, career, or health interests.

Transition Or Lack Of It? Looking At The Changes In Students' Attitudes To, And Interest In, Science Over The Primary/Secondary Interface, Marianne Ruth Logan

Dr Marianne R Logan

The science education literature reveals a crisis in school science in Australia, and a number of other countries (Tytler, 2007a), relating to a decrease in positive attitude in science as students move from primary school into secondary school (Braund & Driver, 2005; Ferguson & Fraser, 1998; James & Smith 1985; Jarman, 1990; Keogh & Naylor, 2004; Simpson & Oliver, 1985) and as students progress through secondary school (Baird, Gunstone, Penna, Fensham, & White, 1990; Simpson & Oliver, 1990; Yager & Yager, 1985) as well as declining numbers of students choosing science subjects in senior secondary school (Goodrum et aI., 2001) …

A Collection Of Lists Of Mathematical Habits Of Mind, Kien Lim

Kien H Lim

Mathematical habits of mind and general habits of mind have been identified in the field by various authors such as Al Cuoco and colleagues, Driscoll and colleagues, and Costa and colleagues. Different list of habits of mind that are relevant to teaching and learning of mathematics education are compiled.

Exploring The Factors That Motivate Female Students To Enroll And Persist In A Collegiate Stem Degree Program, Rosemary L. Edzie, Moe Alahmad

Rosemary L Edzie

In the United States, collegiate enrollment in science and engineering programs continues to decline, while European and Asian universities have increased the number of science and engineering graduates. In addition, there is a growing concern over too few females enrolling and persisting in collegiate science, technology, engineering, and mathematics (STEM) degree programs. Through increasing access to pre-collegiate STEM activities, providing a better understanding of STEM career choices, instilling of confidence in math and science, and establishing student and industry based mentoring programs, more female students will enroll and persist in collegiate STEM degree programs. This paper sets to explore the …

The Power To Transform: Leadership That Brings Learning And Schooling To Life, Stephanie Pace Marshall

Stephanie Pace Marshall, Ph.D.

The Power to Transform is a call to re-conceive and re-design schooling. Rather than offer “best practices” or “prescriptive solutions,” it invites leaders of all ages and walks of life to think differently about learning and schooling. It illuminates the “why” and “what” of educational transformation and explores its deepest roots. It offers new language, new design principles, a new framework, and a new map for creating vibrant, imaginative and adaptive learning landscapes that integrate the dynamic properties of living systems with the generative principles of learning. It is from this natural integration that the new story of learning and …

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

Stephanie Pace Marshall, Ph.D.

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; …

Who Is Participating In Geoscience Teacher Education Workshops, Why Are They Doing It, And What Are They Learning?, Scott A. Nowicki

Scott A Nowicki

Presented here are evaluation results from the geoscience teacher education workshop: Invigorating High School and Middle School Earth Science Through Inquiry and Student Research (2010) and Climate Change Science: Content and Inquiry Methods for Secondary Teachers (2011). This program was conducted by PI Dr. Larry Rudd at Nevada State College and Co-I Dr. Steve Rowland at UNLV under the state-funded Nevada Collaborative Teacher Improvement Program (NeCoTIP). During five years of summer workshops (2007-2011) over 70 middle and high-school in-service teachers in the Clark County School System participated in a combination classroom and field-based professional development program focused on local geologic …

Assessing Impulsive-Analytic Disposition: The Likelihood-To-Act Survey And Other Instruments, Kien Lim, Amy Wagler

Kien H Lim

The likelihood-to-act (LtA) survey is a 32-item instrument that measures impulsive and analytic dispositions in solving math problems. In this research report, we compare it to other instruments related to the impulsive-analytic construct such as Frederick’s Cognitive Reflection Test (CRT) and the Barratt Impulsive Scale in terms of mean scores, Cronbach alpha values, and correlation values. Both LtA-Impulsive and LtA-Analytic subscales have acceptable reliabilities of 0.79 and 0.83 respectively. The LtA-Analytic and LtA-Difference (analytic-impulsive difference) correlated well with other the Need for Cognition subscale and CRT scores. The correlations involving LtA-Impulsive subscale were unexpected and call for further investigation.

The Hammer-And-Nail Phenomenon In Mathematics Education, Kien Lim

Kien H Lim

"For a person with a hammer, everything looks like a nail" is a proverb that can be used to highlight the phenomenon that students tend to rely on familiar ideas as opposed to taking time to think about and analyse a problem. Presented in this theoretical paper is the usefulness of the hammer-and-nail metaphor, other related theoretical constructs, pedagogical causes of student impulsive behaviours, and pedagogical suggestions for addressing them.

Impulsive-Analytic Disposition In Mathematical Problem Solving: A Survey And A Mathematics Test, Kien H. Lim, Amy Wagler

Kien H Lim

The Likelihood-to-Act (LtA) survey and a mathematics test were used in this study to assess students’ impulsive-analytic disposition in the context of mathematical problem solving. The results obtained from these two instruments were compared to those obtained using two widely-used scales: Need for Cognition (NFC) and Barratt Impulsivity Scale (BIS). The exhibited correlations of the LtA scores with the NFC, BIS, and a math test provide evidence of the criterion validity of the analytic LtA items, and suggests further revision of the impulsive LtA items to improve the overall measurement validity of the LtA scale. Students LtA scores were found …

Logo Programming (Part 1) - A Creative And Fun Way To Learn Mathematics And Problem-Solving, Abhay B. Joshi, Sandesh R. Gaikwad

Abhay B Joshi

Programming means tapping into the computerʹs immense power by talking with it directly. Through programming, children use the computerʹs terrific power to draw graphics, design animation, solve mathematical or word puzzles, and even build robots. This idea was first proposed in the famous book ʺMindstormsʺ by Seymour Papert and has subsequently been appreciated and praised by educators and parents all over the world.

Through programming, students discover that the computer is a powerful and flexible tool. Using interesting ideas embedded in programming environments, students solve problems in their favorite subjects, and also develop interest in ʺdifficultʺ subjects like Math and …

Logo Programming (Part 2) - A Creative And Fun Way To Learn Mathematics And Problem-Solving, Abhay B. Joshi, Sandesh R. Gaikwad

Abhay B Joshi

Programming means tapping into the computerʹs immense power by talking with it directly. Through programming, children use the computerʹs terrific power to draw graphics, design animation, solve mathematical or word puzzles, and even build robots. This idea was first proposed in the famous book ʺMindstormsʺ by Seymour Papert and has subsequently been appreciated and praised by educators and parents all over the world.

Through programming, students discover that the computer is a powerful and flexible tool. Using interesting ideas embedded in programming environments, students solve problems in their favorite subjects, and also develop interest in ʺdifficultʺ subjects like Math and …

Planting The Seeds Of Computational Thinking: An Introduction To Programminsuitable For Inclusion In Stem Curriculag, Eric A. Freudenthal, Art Duval, Sarah Hug, Alexandria N. Ogrey, Kien H. Lim, Catherine Tabor, Rebeca Q. Gonzalez, Alan Siegel

Kien H Lim

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 …

Addressing The Multiplication Makes Bigger And Division Makes Smaller Misconceptions Via Prediction And Clickers, Kien Lim

Kien H Lim

This article presents a lesson that uses prediction items, clickers and visuals via PowerPoint slides to help prospective middle-school teachers address two common misconceptions: multiplication makes bigger and division makes smaller (MMB–DMS). Classroom research was conducted to explore the viability of such a lesson. Results show that the lesson was effective in creating awareness that multiplication does not always make bigger and division does not always makes smaller, uncovering students’ misconceptions, and providing opportunities for students to learn from mistakes. Students liked the activity for various reasons, such as getting to learn certain mathematical ideas, to think about the problems, …

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

Kien H Lim

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 H. Lim

Kien H Lim

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.

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

Kien H Lim

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 …

The Role Of Prediction In The Teaching And Learning Of Mathematics, Kien Lim, Gabriela Buendía, Ok-Kyeong Kim, Francisco Cordero, Lisa Kasmer

Kien H Lim

The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students’ prediction can reveal their conceptions, (2) prediction plays an important role in reasoning and (3) prediction fosters mathematical learning. To support research on prediction in the context of mathematics education, we present three perspectives on prediction: (1) prediction as a mental act highlights the cognitive aspect and the conceptual basis of one’s prediction, (2) prediction as a mathematical activity highlights …

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

William H. Robertson

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 H. Robertson

William H. Robertson

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

Kien H Lim

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 …

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

William H. Robertson

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 …