Science and Mathematics Education Commons^™

Preparing Students For Careers That Do Not Yet Exist, Glenn W. "Max" Mcgee

Glenn W. "Max" McGee

The Illinois Mathematics and Science Academy (IMSA), as a self-described "teaching and learning laboratory for imagination and inquiry," has a history of pursuing innovations closely aligned with the vision and framework of the National Science Education Standards. Innovations include both methods and materials for inquiry-based student instruction as well as for delivering professional development for pre-service and practicing teachers. Instructional innovations described include yearlong student inquiry and research projects (SIR), self-paced physics instruction, student-driven energy and engineering projects, instruction in innovation and entrepreneurialism, and a host of student-led outreach activities to "ignite and nurture creative, ethical, scientific minds of students …

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.

4-Mality (Four Coach Active Learning Intelligent Tutoring System), Robert Maloy

Robert W. Maloy

4mality is a web-based tutoring system for 3rd through 6th grade students learning to solve math word problems. It provides preparation and practice for math problem solving and math achievement tests.

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 Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William H. Robertson

William H. Robertson

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 …

Blessed Unrest: The Power Of Unreasonable People To Change The World, Stephanie Pace Marshall

Stephanie Pace Marshall, Ph.D.

In her keynote address at the 2008 NCSSSMST Professional Conference, Dr. Stephanie Pace Marshall addresses what work can be done with the collective resources of its Consortium members which beg to be shared and connected--and also explores what the source of "...our Blessed Unrest that will give us the courage to become unreasonable advocates for our children and for STEM transformation?"

Beyond Competition--Innovation For A Sustainable Future, Stephanie Marshall

Stephanie Pace Marshall, Ph.D.

Dr. Marshall outlines her belief that the current context and conditions of schooling are far too constrained, prescribed and risk-averse for our children’s imagination, and as a result, actually mitigate against innovative thinking and creative and collaborative problem-solving. Authentic learning is a live encounter. She feels that we cannot mandate, punish or test our children into greatness and provides recommendations for educational transformation--not reform--to design the educational experiences needed by today's children.

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; …

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

Stephanie Pace Marshall, Ph.D.

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 …

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 …

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

Eric McLaren

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 …

Excellent Adventures In Global Collaboration, Glenn W. "Max" Mcgee, Aracelys Rios

Glenn W. "Max" McGee

No abstract provided.

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

Glenn W. "Max" McGee

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 …

A Deeper Look At How Teachers Say What They Say: A Quantitative Modality Analysis Of Teacher-To-Teacher Talk., Karl Kosko, Patricio Herbst

Karl W Kosko

Analysis of teacher-to-teacher talk provides researchers with useful information regarding the teaching profession and teachers’ perspectives. This article provides a description of a method, with accompanying example, examining teacher-to-teacher talk by incorporating semantic modality and examining trends of its usage in a quantitative manner. Analysis of the example presented showed a tendency for teachers to use normative and probability modality, signaling a prevalence of assertions concerned with normative ways of teaching. The example analysis provides a replicable framework for other researchers to apply and adapt the analysis method described. Specifications and discussion of this method are provided in detail.

Misconceptions About “Misconceptions”: Preservice Secondary Science Teachers’ Views On The Value And Role Of Student Ideas., Douglas B. Larkin

Douglas B. Larkin

Addressing Misconceptions About Heat Transfer In Undergraduate Chemical Engineering Instruction, Katharyn E. K. Nottis, Michael J. Prince, Margot A. Vigeant

Michael J. Prince

Understanding heat, energy and temperature can be difficult. Misconceptions about heat transfer have been found to persist, even after instruction. New instructional methods are needed to address them. This pilot study examined whether researcher-developed, inquiry-based activities could increase conceptual understanding of heat transfer. Twenty-two undergraduate chemical engineering students were assessed before and after instruction with inquiry-based activities. Participants had significantly higher scores on the post-test. An examination of assessment questions revealed substantial improvement on questions closely related to activities. However, participants had difficulty applying concepts in new and related contexts. Educational implications and suggestions for future research will be discussed.

Addressing Misconceptions About Heat Transfer In Undergraduate Chemical Engineering Instruction, Katharyn E. K. Nottis, Michael J. Prince, Margot A. Vigeant

Margot Vigeant

Understanding heat, energy and temperature can be difficult. Misconceptions about heat transfer have been found to persist, even after instruction. New instructional methods are needed to address them. This pilot study examined whether researcher-developed, inquiry-based activities could increase conceptual understanding of heat transfer. Twenty-two undergraduate chemical engineering students were assessed before and after instruction with inquiry-based activities. Participants had significantly higher scores on the post-test. An examination of assessment questions revealed substantial improvement on questions closely related to activities. However, participants had difficulty applying concepts in new and related contexts. Educational implications and suggestions for future research will be discussed.

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 …

Dissect: A Framework For Effective Inclusive Instruction In Science, Jenny Sue Flannagan, Lucinda S. Spaulding

Lucinda S. Spaulding

In this presentation we present a framework for effective inclusive education in science.

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 …