Teacher Education and Professional Development Commons^™

The Value Of Problem Posing In Developing Creatively Gifted Mathematicians, Eric L. Mann

Faculty Presentations

The task of problem posing is often overlooked as a means to develop creatively gifted mathematicians. Silver (1997) suggested that problem posing was an instructional tactic used worldwide to develop creativity in mathematicians. More specifically, Silver advocated that deliberate instructional tactics had to be employed to precipitate creative solutions. Problem posing is often correlated with the aesthetic nature of mathematics.

In this cutting-edge session, participants’ objective is to learn about the value of problem posing through a brief presentation and have an opportunity to generate their own mathematical problem solving tasks given a mathematical concept. The intent is to encourage …

The Effects Of A Seventh Grade Mathematics Remediation Course On Student Achievement, Jason Nix

Doctoral Dissertations and Projects

Since the installment of the No Child Left Behind Act, schools have sought strategies to help students meet these academic requirements. Many middle schools have turned to math remediation classes as a way to improve students' achievement scores. The purpose of this quantitative causal-comparative study was to explore the relationship of the mathematics remediation class as an intervention strategy to help low performing seventh grade students' achievement on the Georgia Criterion-Referenced Competency Test. The sample consisted of N= 775 (391 male, 384 female) seventh grade students enrolled in one rural middle school. The result of the statistical test, ANCOVA, revealed …

Thinking It Through: Australian Students’ Skills In Creative Problem Solving, Lisa De Bortoli, Greg Macaskill

Lisa De Bortoli

In every PISA survey, students from every participating country are assessed in the core domains of mathematics, science and reading literacy. In addition to assessing these literacy domains, the OECD proposes additional assessments in other domains. In PISA 2003, a paper-based assessment of cross- disciplinary problem solving was first assessed, when it was included as a core domain. In PISA 2012, problem solving was once again assessed, this time as an optional computer-based assessment.

The focus of the PISA 2012 assessment of problem solving was: Are today’s 15-year-old students acquiring the problem-solving skills that will prepare them to meet the …

Thinking It Through: Australian Students’ Skills In Creative Problem Solving, Lisa De Bortoli, Greg Macaskill

OECD Programme for International Student Assessment (PISA) Australia

In every PISA survey, students from every participating country are assessed in the core domains of mathematics, science and reading literacy. In addition to assessing these literacy domains, the OECD proposes additional assessments in other domains. In PISA 2003, a paper-based assessment of cross- disciplinary problem solving was first assessed, when it was included as a core domain. In PISA 2012, problem solving was once again assessed, this time as an optional computer-based assessment.

The focus of the PISA 2012 assessment of problem solving was: Are today’s 15-year-old students acquiring the problem-solving skills that will prepare them to meet the …

Reducing Mathematics Anxiety, Catherine Pearn

Teacher articles

Catherine Pearn discusses how to approach maths anxiety in the classroom. The symptoms of mathematics anxiety vary from expressing a dislike of mathematics to an adult who had to exit a lecture theatre in a hurry when numbers are displayed on a screen.

Implementing The Common Core’S Promise Of Bringing Statistical Curricula Into Line With Recommendations Of Nctm, Maa, & Gaise, Beverly Wood, Carl Clark

Publications

We plan to make a case for the necessity of GAISE-aligned college courses in order to prepare future teachers to teach in Common Core K-12 classrooms. Beginning with an overview of the parallel evolutions of Cobb/MAA suggestions - GAISE recommendations for teaching and NCTM process standards - Common Core mathematical practices, we will emphasize that we should be modeling what researchers continually conclude are best practices for teaching/learning across the K-16 continuum. We will provide some examples to illustrate classroom tasks that satisfy both GAISE and Common Core and hope to generate some discussion of other activities already used by …

Calculator Usage In Secondary Level Classrooms: The Ongoing Debate, Nicole Plummer

Honors College Theses

With technology becoming more prevalent every day, it is imperative that students gain enough experience with different technological tools in order to be successful in the “real-world”. This thesis will discuss the debate and overall support for an increased usage of calculators as tools in the secondary level classroom. When the idea of calculators in the classroom first came to life, many educators were very apprehensive and quite hesitant of this change. Unfortunately, more than 40 years later, there is still hesitation for their usage; and rightfully so. While there are plenty of advantages of calculator use in the classroom, …

Paper 2: Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Integrating Technology And Engineering In A Stem Context, Barry N. Burke, Philip A. Reed, John G. Wells, Robert E. Yager (Ed.), Herbert Brunkhorst (Ed.)

STEMPS Faculty Publications

(First paragraph) Imagine students entering the classroom with an enthusiasm that cannot be contained. They come from all walks of life and with different experiences and backgrounds and are eager to engage in learning. Inspiration and innovation are on their mind. What they learned in their science and math classes is now being applied in another class they take called Technology and Engineering. Opportunity is what they see for their future. Something about connecting all the dots from all their classes propels them to change their outlook, to get involved, to get excited about school and to envision their future.

Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …