Science and Mathematics Education Commons^™

Fostering Preservice Teachers' "Nature Of Science" Understandings In A Physics Course, Ehsan Kattoula, Geeta Verma, Lisa Martin-Hansen

Geeta Verma

In this paper, the authors examine an algebra-based physics course designed for preservice teachers and explore how the course integrated two pedagogical strategies to bridge the gap between inquiry-learning experiences and the teachers' nature of science (NOS) understandings. The results of this research show that the explicit, reflective process allowed participants to examine their NOS understandings, which thereby fostered changes in their understanding.

Examining The Mediation Of Power In A Collaborative Community: Engaging In Informal Science As Authentic Practice, Anton Puvirajah, Geeta Verma, Horace Webb

Geeta Verma

Focusing on the interplay of context and language, this study examined a group of high school students and their mentors’ use of language during a robotics competition. This informal setting allowed us to gain insights into the mediation and manifestation of power within the group. Using critical discourse analysis of competition transcripts and interviews we found that both students and mentors felt a sense of ownership and community leading to symmetry in power amongst them. The shift in power led to greater student ownership and agency and created a space for authentic and meaningful science learning. The context of the …

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 …

Critical Mass In The Teacher Education Academy: Symbiosis And Diversity, Gertrude Tinker Sachs, Geeta Verma

Geeta Verma

Critical Mass in the Teacher Education Academy is a book that will generate a great deal of conversation about the value and contributions of teacher educators in preparing the next generation of teachers and teacher educators. Our work in the field of teacher education is ultimately grounded in who we are, where we have come from, and the extent to which we are prepared to acknowledge and critique our learning experiences. This book affirms the value of theorized self-critique and critical reflection in anchoring the field to empower educators to be active agents of change for the greater good. The …

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 …

Have A Kids Inquiry Conference: Putting A Twist On The Typical Science Fair, Paula Magee, Ryan Flessner

Ryan Flessner

In school, the traditional format for the formal sharing of science experiences has been the science fair. Although the format of science fairs may vary, the usual components consist of a step-by-step experimental process that students follow as they test different variables, construct a hypothesis, and collect data to support or disprove their hypothesis. Usually the science fair is conducted as a competitive event at which prizes are awarded for the "best" examples. Unfortunately, this type of science event has little connection to the real sharing that scientists do regularly.

The National Science Education Standards (NSES) call for an approach …

Buried Or Not? What’S Happened To Numeracy?, David Tout

David (Dave) Tout

International surveys reveal a worrying decline in adult numeracy development. Dave Tout makes the case for a renewed focus.

Don't Subtract Numeracy, David Tout

David (Dave) Tout

The development of adults’ core skills for work and life requires attention to language and literacy, but numeracy counts as well, says Dave Tout.

Policy, Practice, And Readiness To Teach Primary And Secondary Mathematics In 17 Countries: Findings From The Iea Teacher Education And Development Study In Mathematics (Teds-M), Teresa Tatto, Jack Schwille, Sharon Senk, Lawrence Ingvarson, Ray Peck, Glenn Rowley

Ray Peck

The IEA Teacher Education and Development Study in Mathematics (TEDS-M 2008) was a comparative study of primary and secondary mathematics teacher education. It examined how different countries prepared teachers to teach mathematics in primary and lower-secondary schools.

TEDS-M paid particular attention to links between teacher education policies, practices, and outcomes. TEDS-M asked several key research questions:

• What is the national policy context for mathematics teacher education?

• What are the main characteristics of mathematics teacher education programs, and how do they vary across countries?

• What is the level of mathematics and related teaching knowledge acquired by prospective primary …

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.

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.

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.

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, …

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 …

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 …

Mathematical Habits Of Mind: A Working Group At The 2009 Pme-Na Conference, Kien Lim, Annie Selden

Kien H Lim

The objectives of this working group are: (a) to discuss various views and aspects of mathematical habits of mind, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. To facilitate the discussion during the working group meetings, we provide an overview of mathematical habits of mind, including concepts that are closely related to habits of mind—ways of thinking, mathematical practices, knowing-to act in the moment, cognitive disposition, and behavioral schemas. We invite mathematics educators who are interested in habits of mind, and especially those who have conducted research related …

Burning The Candle At Just One End: Using Nonproportional Examples Helps Students Determine When Proportional Strategies Apply, Kien H. Lim

Kien H Lim

Helping Students Develop Mathematical Habits Of Mind: A Joint Panel Session At The 2009 Jmm Conference, Kien Lim, Kristin Camenga

Kien H Lim

Cuoco, Goldenberg, and Mark advocate habits of mind as an organizing principle for a mathematics curriculum where students learn to be “pattern sniffers, experimenters, describers, tinkerers, inventors, visualizers, conjecturers, and guessers.” Harel regards habits of mind as interiorized ways of thinking—conceptual tools that are necessary for constructing mathematical objects. Presenters for this session offer various perspectives and strategies for helping students develop mathematical habits of mind, including examples from different content areas and at different levels.

通过数学任务提高美国职前教师的数学成熟性 (Advancing Pre-Service Teachers’ Mathematical Sophistication Via Mathematical Tasks), Kien Lim, 庞雅丽, 赵锐

Kien H Lim

2008年5月22日，香港数学教育学会在香港浸会大学举行了研讨会。本文以该研讨会上的发言为蓝本，区分了以下四种差异：（1）约定俗成的数学与学校数学之间的差异；（2）理解方式与思维方式之间的差异；（3）成熟的学习者与被动的学习者之间的差异；（4）知识传授与知识参与这两种教学模式之间的差异。文章还讨论了Harel提出的教学原则以及数学任务的设计与它们在课堂中的使用，并呈现了具体的案例来说明如何设计数学任务以实现特定的学习与教学目标，如激发学生学习某一特定概念的需要，促进理想的思维方式，阻止不合适的思维方式以及评估学生的概念性理解。

Developing Mathematical Habits Of Mind, Selden Annie, Kien Lim

Kien H Lim

A Project NeXT panel on “Helping Students Develop Mathematical Habits of Mind without Compromising Key Concepts from the Syllabus” was held at the San Diego Joint Mathematics Meetings 2008. This article summarizes the main points presented by four panelists: Al Cuoco, Harel Guershon, Hyman Bass, and Annie Selden.

Mathematics Teachers’ Knowledge Base: Preliminary Results, Guershon Harel, Kien Lim

Kien H Lim

Student learning depends on the teacher’s actions, which are, in turn, dependent on the teacher’s knowledge base—defined here by three components: knowledge of mathematics content, knowledge of student epistemology, and knowledge of pedagogy. The purpose of this study is to construct models for teachers’ knowledge base and for their development in an on-site professional development project.