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Science and Mathematics Education Commons

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Mathematics

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Full-Text Articles in Science and Mathematics Education

A Survey Of Significant Developments In Undergraduate Mathematics Education Over The Past Decade, Ron Buckmire Dec 2018

A Survey Of Significant Developments In Undergraduate Mathematics Education Over The Past Decade, Ron Buckmire

Ron Buckmire

This article is a survey of responses to the question “What are the most significant
results, events, or developments in undergraduate mathematics education of the last decade?” by prominent members of the mathematics and matthematics education community.


Edutainment: Weaving Your Passion Into The Process Of Stem Education, William H. Robertson Jan 2018

Edutainment: Weaving Your Passion Into The Process Of Stem Education, William H. Robertson

William H. Robertson

This presentation will focus on the use of live action and video instruction as a method of content dissemination and to motivate students in learning in science, technology, engineering and mathematics (STEM) education.  Specifically, this area, dubbed “edutainment”, will chronicle different interactions with students, teachers and community members that utilized live action to video as methods of capturing relevant content in student-centered contexts. The fundamental idea is to infuse one's passion into your methods of teaching, and to inspire others to use their gifts in their education, and thereby connect them to their dreams and aspirations.


Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer Nov 2017

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

Karin Keith

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.


It Doesn’T Feel Like A Job To Learn: Hispanic Preservice Teachers’ Perceptions Of Dance-Themed Mathematics Education, William H. Robertson Nov 2017

It Doesn’T Feel Like A Job To Learn: Hispanic Preservice Teachers’ Perceptions Of Dance-Themed Mathematics Education, William H. Robertson

William H. Robertson

A series of dance activities were introduced to preservice teachers (n  = 76) to help them understand how mathematics concepts could be associated with dance performance and choreography processes. A total of 468 pieces of qualitative data were collected, including 147 online discussion entries with 248 follow-up 10 comments, and 73 individual reflection essays. The main themes for the various benefits that emerged across the preservice teachers’  reflections were: (1) improving students’  dispositions toward mathematics and creating an enjoyable learning environment for reducing mathematics anxiety; (2) allowing students to develop their creativity and allowing teachers to meet different students’  needs; and ...


Reducing Mathematics Anxiety, Catherine Pearn Oct 2017

Reducing Mathematics Anxiety, Catherine Pearn

Catherine Pearn

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.


Teaching The Strand Of Ccss Slope Through Metacognition In Middle School, High School, And Advanced Placement Mathematics, Sara Snarr Sep 2017

Teaching The Strand Of Ccss Slope Through Metacognition In Middle School, High School, And Advanced Placement Mathematics, Sara Snarr

Sara Snarr

The strand of slope presents every year from 7th grade through Advanced Placement Calculus. The Common Core Learning Standards require and encourage a thorough understanding of slope and slope-related concepts such as unit rate, parallel and perpendicular lines, and the derivative. Unfortunately, many secondary mathematics teachers struggle to teach students to monitor their process and conceptualize an overall strategy for solving complex and fundamental problems. This thesis examines the role of metacognition-focused instruction on achievement, and offers research-supported teaching methods in the context of slope and unit rate that support metacognition. These methods are then presented in a series of ...


Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer May 2017

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

Ryan Andrew Nivens

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.


A Comparison Of Two Job Offers In Mathematics Education, Ryan Andrew Nivens May 2017

A Comparison Of Two Job Offers In Mathematics Education, Ryan Andrew Nivens

Ryan Andrew Nivens

Many job seekers in higher education are unaware of how large a discrepancy there can be in terms of financial potential for mathematics education jobs in higher education. Recent research on this topic has focused on the base salary (Reys, Reys, & Estapa, 2013), but other financial factors have been left unstudied. Through two cases, the researcher demonstrates a large gap that exists in net pay when major financial factors beyond base salary are considered, specifically insurance and retirement benefits. This article will spur conversations among faculty and graduate students in mathematics education doctoral programs allowing mentors to draw from their ...


Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong Feb 2017

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Kate Perkins

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support ...


Mathematics Uncovered Through Action Science, William H. Robertson May 2016

Mathematics Uncovered Through Action Science, William H. Robertson

William H. Robertson

In an event-based series of on-site activities with high school students through an Action Science approach, fundamental concepts were explored including the foundations for functions, geometric think and spatial reasoning, the development of mathematical models, as well as techniques for working with spatial figures to understand underlying relationships. The activities in which students participated were designed to teach fundamental mathematics concepts in algebra and geometry in an approach that utilized transformative educational strategies, which helped students move from memorizing facts and content to constructing knowledge in meaningful and useful manners. With an emphasis on a collaborative data collection process, students ...


Tracie Salinas.Jpg, Tracie Mclemore Salinas Dec 2015

Tracie Salinas.Jpg, Tracie Mclemore Salinas

Dr. Tracie McLemore Salinas

No abstract provided.


Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong Sep 2015

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Dr Daniel Edwards

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support ...


Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong Sep 2015

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Dr Jacob Pearce

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support ...


Collaborating To Improve Inquiry-Based Teaching In Elementary Science And Mathematics Methods Courses, Paula A. Magee, Ryan Flessner Jun 2015

Collaborating To Improve Inquiry-Based Teaching In Elementary Science And Mathematics Methods Courses, Paula A. Magee, Ryan Flessner

Ryan Flessner

This study examines the effect of promoting inquiry-based teaching (IBT) through collaboration between a science methods course and mathematics methods course in an elementary teacher education program. During the collaboration, preservice elementary teacher (PST) candidates experienced 3 different types of inquiry as a way to foster increased understanding of inquiry based teaching (IBT). The experiences included a PST driven science inquiry and a mathematics inquiry where PSTs were learners and a science inquiry where PSTs were teachers. During and following the semester of the collaboration, data were collected to assess the impact of the inquiry experiences on the PSTs’ understanding ...


The Skatepark Mathematics Extravaganza, William H. Robertson May 2015

The Skatepark Mathematics Extravaganza, William H. Robertson

William H. Robertson

In the fall of 2014, a series of live demonstrations and field-based activities were lead by a team of educators and top action sports athletes who performed at local high schools. These events, entitled the “Skatepark Mathematics Extravaganza”, were done in order to engage high school students in focused explorations of mathematics set in a real world setting that is relevant to youth culture, namely skateboarding and bicycle motocross (BMX).
 
These activities incorporated mathematics for the students to do after the demonstration in meetings with classes in which the Action Science Stunt Team performed maneuvers on ramps at the high ...


The Development Of A Single Scale For Mapping Progress In Mathematical Competence, Ross Turner, Gayl O'Connor Mar 2015

The Development Of A Single Scale For Mapping Progress In Mathematical Competence, Ross Turner, Gayl O'Connor

Ross Turner

The authors’ intention is to develop a progress map that describes increasing mathematical competence. The main purpose of this chapter is to describe the means by which the research team has been able to use the data from a longitudinal testing program to build and refine a picture of growth in mathematical competence. In this chapter, conceptualisation of the underlying variable to be measured in developing a mathematical progress map is considered, and approaches to its development are discussed. The approach adopted is described and the results of the application of that methodology to the data generated through this research ...


Scale For Mapping Progress In Mathematical Competencies, Ross Turner, Gayl O'Connor, Thomas Romberg Mar 2015

Scale For Mapping Progress In Mathematical Competencies, Ross Turner, Gayl O'Connor, Thomas Romberg

Ross Turner

No abstract provided.


Creative Activities In Mathematics : Problem-Based Maths Investigations For Lower And Middle Primary : Book 1., Derek Holton, Catherine Pearn Dec 2014

Creative Activities In Mathematics : Problem-Based Maths Investigations For Lower And Middle Primary : Book 1., Derek Holton, Catherine Pearn

Catherine Pearn

Problem-based learning is a powerful alternative to drill-and practice or skills-based learning, especially within maths, but it can be difficult to source rich materials that engage an entire class. The Creative Activities in Mathematics series provides a wealth of investigations and open-ended active learning activities, designed to engage students with mathematics and develop their problem-solving, collaboration and mathematical skills. Book One provides 12 different class activities suitable for students in lower and middle primary school (Foundation to Year 4), along with teaching notes and staged lesson plans. Each activity is a whole-class investigation with open-ended answers that takes a particular ...


Thinking It Through: Australian Students’ Skills In Creative Problem Solving, Lisa De Bortoli, Greg Macaskill Sep 2014

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 ...


Maths + Confidence = Higher Scores For Boys, Sue Thomson, Lisa De Bortoli Aug 2014

Maths + Confidence = Higher Scores For Boys, Sue Thomson, Lisa De Bortoli

Lisa De Bortoli

Teenage boys outperform Australian girls in mathematics by the equivalent of about one-third of a school year, according to the latest PISA survey, as Sue Thomson and Lisa De Bortoli explain.


A New Model Of Creativity In Mathematical Problem Solving., Scott Chamberlin, Eric Mann Jun 2014

A New Model Of Creativity In Mathematical Problem Solving., Scott Chamberlin, Eric Mann

Eric L Mann

Myriad definitions of creativity in mathematics have been promulgated (Mann, 2005). The construct of creativity being comprised of fluency, flexibility, originality, and elaboration (Haylock, 1997; Imai, 2000; Kim, Cho, & Ahn, 2003) is generally agreed upon in the field of mathematics education. The purpose of this paper is to propose an additional component to the construct of creativity in mathematics. The fifth component of creativity is iconoclasm. Iconoclasm entails the penchant of mathematically creative individuals to dissent from commonly accepted principles and solutions. Iconoclasts are known to be nonconformist and may thus be open to uncommon or non-traditional solution paths.


A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli May 2014

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

Lisa De Bortoli

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.


Learning And Fearing Mathematics, Sarah Buckley, Kate Reid Oct 2013

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 Oct 2013

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.


A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli Sep 2013

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.


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 Jul 2013

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 and secondary mathematics ...


Scientific Skateboarding And Mathematical Music: Edutainment That Actively Engages Middle School Students, William H. Robertson, Larry Lesser Jul 2013

Scientific Skateboarding And Mathematical Music: Edutainment That Actively Engages Middle School Students, William H. Robertson, Larry Lesser

William H. Robertson

Edutainment has recently been a major growing area of education, showing great promise to motivate students with relevant activities. The authors are among innovators who have developed cutting-edge fusions of popular culture and STEM concepts to engage and to motivate middle school students, using vehicles such as music/song and skateboarding. The importance of using relevant and practical methods of instruction and curriculum delivery that build on student interests and increase enjoyment in the learning process are critical at the middle school level, especially in the STEM fields. The use of edutainment in this manner is meant to inspire broader ...


Building Leadership Capacity For Development And Sharing Of Mathematics Learning Resources Across Disciplines And Universities, Anne Porter, Sue Denny Dec 2012

Building Leadership Capacity For Development And Sharing Of Mathematics Learning Resources Across Disciplines And Universities, Anne Porter, Sue Denny

Associate Professor Anne Porter

Executive Summary
Mathematical and statistical skills underpin students’ success in many university courses. Australia wide there are challenges faced by every tertiary institution as students enter the university with diverse mathematics backgrounds and skills. Inadequate mathematical skills leave students ill equipped to handle the mathematics rich courses in which they enroll. These students need mathematics learning support that is often difficult to provide due to scarce resources. To address this issue the University of Wollongong (UoW) has developed the necessary infrastructure and initiated a Share World collection of mathematics and statistics learning support video resources. These resources, available under a ...


The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William H. Robertson Dec 2012

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

William H. Robertson

lives is a challenge for educators. As part of a weeklong mathematics summer enrichment program held in the summer of 2010 at a southern university in the United States (US), eighty-five high school students participated in a unique set of activities designed to integrate mathematics concepts and skateboarding. Project leaders used a constructivist framework to design student-centered experiences implemented in the outdoor setting of a local skatepark and in campus classrooms. The activities designed for students in “The Mathematics of Skateboarding” demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school ...


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 Jul 2012

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."