Education Commons^™

Revisiting Fibonacci And Related Sequences, Arthur Benjamin, Jennifer Quinn

Jennifer J. Quinn

This issue focuses on proving several interesting facts about the Fibonacci Sequence using a combinatorial proof. The aim of Delving Deeper is for teachers to pose and solve novel math problems, expand on mathematical connections, or offer new insights into familiar math concepts. Delving Deeper focuses on mathematics content appealing to secondary school teachers. It provides a forum that allows classroom teachers to share their mathematics from their work with students, their classroom investigations and products, and their other experiences. Delving Deeper is a regular department of Mathematics Teacher.

Opening Classroom Spaces For The Mathematical Success Of African American And Latino/A Students, Rebecca A. Neal, Dan Battey

Rebecca Neal

Learning And Fearing Mathematics, Sarah Buckley, Kate Reid

Dr Sarah Buckley

Findings from psychology and neuroscience can help educators to better understand the processes underlying children’s learning of, and feelings towards, mathematics. Sarah Buckley and Kate Reid explain.

Influences On Children’S Numeracy Skills, John Ainley

Dr John Ainley

John Ainley reports on an analysis of the impact of background characteristics on young children's numeracy skills.

Use Of Veterinary Records To Teach Laboratory Thinking Skills In Biology, Christopher Woolverton

Christopher J. Woolverton

No abstract provided.

An Interactive Exploration Of Gender And Engineering: Unpacking The Experience, Debbie Chachra, Lynn Stein, Alisha Sarang-Sieminski, Caitrin Lynch, Yevgeniya Zastavker

Alisha L. Sarang-Sieminski

The engineering student experience is understood to differ for male and female students; gendered interactions affect the development of academic and professional role confidence, as well as engineering identity. The purpose of this session is twofold. First, we aim to introduce participants to concepts of gender schemas, privilege, and identity using a range of interactive activities, including brainstorming and structured discussion. Second, we intend to share information about and obtain feedback on a Gender Discussion Exploration Kit, which the participants will be encouraged to review, use, and share at their home institutions.

A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli

Kylie Hillman

This report focuses on mathematical literacy and is one of a series of three reports on Australian students' performance in PISA. The report provides an overview of the PISA mathematics framework and Australia's results in the PISA 2003 international assessment. Also included are mathematics items released for public viewing after the PISA 2003 assessment and examples of responses, marking guides and comparisons of results with other countries. The context behind achievement, e.g. attitudes, engagement and learning strategies, is also presented.

A Teacher's Guide To Pisa Scientific Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli

Kylie Hillman

This report focuses on Australian students' performance on the PISA items that have been released in Scientific Literacy. It includes an overview of the PISA Scientific Literacy Framework, Australian students' results in the 2006 international assessment, examples of responses and marking guides and the context behind achievement, e.g. attitudes, engagement and motivation, and recognition of environmental issues.

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 …

"Best Practices" At The Illinois Mathematics And Science Academy, Steven Rogg

Steven R Rogg

No abstract provided.

Using Mathematical Competencies To Predict Item Difficulty In Pisa, Ross Turner, J Dossey, W Blum, M Niss

Ross Turner

The Relationship Between School Resources And Grade 8 Mathematics Achievement: A Comparison Of Palestinian Authority, Israeli Hebrew And Israeli Arab Schools In Timss 2007, Yasin Afana, Petra Lietz, Mollie Tobin

Dr Petra Lietz

The relationship between school resources such as learning materials, computers, and student-teacher ratio and student performance has been shown to be important. In this article, school resources and their relationship with student achievement are compared for Israeli and Palestinian Authority (PA) schools using data from the International Association for the Evaluation of Educational Achievement’s (IEA) 2007 Trends in International Mathematics and Science Study (TIMSS) in the context of eff orts aimed at reducing the differences in resources in schools in Israel. Results of bivariate analyses show some differences regarding the availability of school resources between the three groups of schools …

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.

Big Data Education: 3 Steps Universities Must Take, Jennifer Priestley

Jennifer L. Priestley

By now, we all know that the "sexiest job of the 21st century" is the data scientist. A scan of articles and blogs describing data scientists and their raw material -- big data -- reveals several "sexy" themes. First, data is ubiquitous, big and coming at us with increasing velocity. Second, traditional tools that have been used to extract and analyze 20th century data don't work with big data. Third, incredibly few people have the skills necessary to translate this tsunami of data into meaningful information -- making them the hotshots in the job market.

Let's Come Together On Data Science, Jennifer Priestley

Jennifer L. Priestley

We've all read the articles and blogs. Many of us have experienced the issues directly -- the demand for deep analytical skills is outpacing the supply. As evidence of this, in a period of economic slowdown, where we read that 50 percent of college graduates can't get a job, college graduates with degrees remotely aligned with applied analytics have multiple offers in advance of graduation. Academic training in applied (versus theoretical) statistics is helpful -- and mitigates some of this talent gap at the entry level. Nonetheless, we all know it's insufficient to meet the growing demand for what we …

An Interactive Exploration Of Gender And Engineering: Unpacking The Experience, Debbie Chachra, Lynn Stein, Alisha Sarang-Sieminski, Caitrin Lynch, Yevgeniya Zastavker

Debbie Chachra

The engineering student experience is understood to differ for male and female students; gendered interactions affect the development of academic and professional role confidence, as well as engineering identity. The purpose of this session is twofold. First, we aim to introduce participants to concepts of gender schemas, privilege, and identity using a range of interactive activities, including brainstorming and structured discussion. Second, we intend to share information about and obtain feedback on a Gender Discussion Exploration Kit, which the participants will be encouraged to review, use, and share at their home institutions.

Student Self-Efficacy In Introductory Project-Based Learning Courses, Geoffrey Pleiss, Madeline Perry, Yevgeniya Zastavker

Yevgeniya V. Zastavker

The purpose of this study is to determine how introductory Project-Based Learning (PjBL) courses affect the self-efficacy of first-year engineering students. Grounded theory is used to analyze twelve interviews with first-year students about their experiences in two PjBL courses, Engineering Design and Physics Laboratory. Data indicate that students' self-efficacy within each course is correlated with the extent to which their course goal perceptions align with those intended by faculty. In Engineering Design, students' recognition of the faculty's intended course goals corresponds to higher levels of self-efficacy. Conversely, in Physics Laboratory, students' low self-efficacy is correlated with a large gap between …

An Interactive Exploration Of Gender And Engineering: Unpacking The Experience, Debbie Chachra, Lynn Stein, Alisha Sarang-Sieminski, Caitrin Lynch, Yevgeniya Zastavker

Caitrin Lynch

The engineering student experience is understood to differ for male and female students; gendered interactions affect the development of academic and professional role confidence, as well as engineering identity. The purpose of this session is twofold. First, we aim to introduce participants to concepts of gender schemas, privilege, and identity using a range of interactive activities, including brainstorming and structured discussion. Second, we intend to share information about and obtain feedback on a Gender Discussion Exploration Kit, which the participants will be encouraged to review, use, and share at their home institutions.

An Interactive Exploration Of Gender And Engineering: Unpacking The Experience, Debbie Chachra, Lynn Stein, Alisha Sarang-Sieminski, Caitrin Lynch, Yevgeniya Zastavker

Yevgeniya V. Zastavker

The engineering student experience is understood to differ for male and female students; gendered interactions affect the development of academic and professional role confidence, as well as engineering identity. The purpose of this session is twofold. First, we aim to introduce participants to concepts of gender schemas, privilege, and identity using a range of interactive activities, including brainstorming and structured discussion. Second, we intend to share information about and obtain feedback on a Gender Discussion Exploration Kit, which the participants will be encouraged to review, use, and share at their home institutions.

An Interactive Exploration Of Gender And Engineering: Unpacking The Experience, Debbie Chachra, Lynn Stein, Alisha Sarang-Sieminski, Caitrin Lynch, Yevgeniya Zastavker

Lynn Andrea Stein

The engineering student experience is understood to differ for male and female students; gendered interactions affect the development of academic and professional role confidence, as well as engineering identity. The purpose of this session is twofold. First, we aim to introduce participants to concepts of gender schemas, privilege, and identity using a range of interactive activities, including brainstorming and structured discussion. Second, we intend to share information about and obtain feedback on a Gender Discussion Exploration Kit, which the participants will be encouraged to review, use, and share at their home institutions.

How Design Can Get Kids On The Path To Tech Careers: A Conversation With Dr. Stephanie Pace Marshall, The Founder Of A New Type Of Science And Math Academy, Stephanie Marshall

Stephanie Pace Marshall, Ph.D.

An interview with Dr. Stephanie Pace Marshall about educational design and the design of the Illinois Mathematics and Science Academy. "IMSA sought not only to develop decidedly different scientific minds, but also to develop a decidedly different residential learning community -- one that was nurturing and innovative, and one that instilled a sense of stewardship, and an obligation to give back. As a dynamic teaching and learning laboratory, IMSA continues to evolve, yet the roots of our founding ideas and goals remain."

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.

Communicating Quantitative Literacy: An Examination Of Open-Ended Assessment Items In Timss, Nals, Ials, And Pisa, Karl Kosko, Jesse Wilkins

Karl W Kosko

Quantitative Literacy (QL) has been described as the skill set an individual uses when interacting with the world in a quantitative manner. A necessary component of this interaction is communication. To this end, assessments of QL have included open-ended items as a means of including communicative aspects of QL. The present study sought to examine whether such open-ended items typically measured aspects of quantitative communication, as compared to mathematical communication, or mathematical skills. We focused on public-released items and rubrics from four of the most widely referenced assessments: the Third International Mathematics and Science Study (TIMSS-95): the National Adult Literacy …

Student Inquiry And Research At The Illinois Mathematics And Science Academy, Steven Rogg

Steven R Rogg

Student Inquiry and Research at the Illinois Mathematics and Science Academy. The 8th International Student Science Fair, April 30-May 4, 2012. Winnipeg, Manitoba, Canada

The Development Of Professional Expertise Through Reflection In The Principalship, Eric Mclaren

Eric McLaren

The study of principals as learners is important because the landscape of public education is changing. Schools are becoming more diverse and the demands on schools more varied and complex. The role of the principal is increasingly ambiguous, complex, and varied. Principals must adapt and develop'their professional practice. Effective principals learn from experience to meet the shifting expectations of the role and the needs of the school. Multiple learning experiences help principals become more proficient in their jobs. Initial certification, induction into the role, continuing professional education, and learning from experiences are means to the development of expertise. This study …

A New Approach To Teaching Science, Gary Lewis, Gail Schiffer

Gary C. Lewis

After several years of hard work, the faculty of Kennesaw State College has adopted and begun to implement a new core of courses to be taken by all undergraduate students. Central to the core philosophy is the integration of knowledge from a wide array of disciplines and the teaching of skills essential to a well-educated college graduate. Course sequences in the area of humanities and the social sciences have been designed to meet these objectives, and the faculties of these disciplines have worked hard developing these courses.

Existing Specialty Schools As Leverage For Behavioral Sciences Research On Teaching And Learning In Stem Fields, Christopher Kolar, Heather Sondel

Christopher G. Kolar

The National Science Foundation has requested comments and proposals that outline challenge questions for the next decade in behavioral sciences research. At the same time, the NSF has joined the President's Council of Advisors on Science and Technology as well as the National Academy of Sciences in issuing reports first identifying the need for specialized STEM education as a strategic necessity and then proposing the establishment of an additional 1000 specialized STEM schools. A common theme in these reports is that foundational work must be conducted to establish effective organizational and instructional practices for these schools. The authors of this …

Student Enrollment In Classes With Frequent Mathematical Discussion And Its Longitudinal Effect On Mathematics Achievement., Karl Kosko

Karl W Kosko

Mathematical discussion has been identified as being beneficial to students’ understandings of mathematics (Goos, 1995; Lee, 2006). Students in classrooms with more effective math discussion have been observed to engage more frequently in discussion (e.g. Hiebert & Wearne, 1993), but the converse is not necessarily true (e.g. Manouchehri & St. John, 2006). Utilizing hierarchical linear modeling, the present study examined student enrollment in classes with more and less frequent discussion and such enrollment’s effect on mathematics achievement over time. Results indicated that students enrolled in classes that discuss math “almost every day” consistently have higher math achievement than students enrolled …

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.