Strengthening Elementary Students' Understanding Of Factors, 2016 University of Montana - Missoula

#### Strengthening Elementary Students' Understanding Of Factors, Jordan R. Frotz

*Undergraduate Theses and Professional Papers*

Research on pre-service elementary school teachers’ understanding of the multiplicative structure of the natural numbers demonstrates an under-utilization of unique prime factorization in the identification of a number’s factors. For example, Zazkis and Campbell (1996b) found that a majority of teacher candidates employed trial division to analyze factor-candidates of a number, even when both were presented in prime-factored-form. Recent studies (i.e. Roscoe & Feldman, 2015) have shown that teachers’ understanding of factor can be strengthened by engaging in a sequence of instructional tasks that explore the relationship between a number’s prime factorization and its factors. This study seeks ...

Developing Multiplication Fact Fluency, 2015 Boise State University

#### Developing Multiplication Fact Fluency, Jonathan L. Brendefur, Sam Strother, Keith Thiede, Sarah Appleton

*Jonathan Brendefur*

Using specific components of three broad learning theories—cognitive, social-interactional, and behavioral—students in 3rd, 4th and 5th grade classrooms were given multiplication fact fluency instruction over a period of five weeks for 10-15 minutes each day. Two different approaches were utilized with two distinct groups of students for the purpose of comparing different approaches to fluency development. Results indicate that students using a strategy-based approach for fluency development by means of instructional tasks emphasizing social-interactional and cognitive theories (particularly Bruner’s theory of Modes of Representation) increased multiplication fact fluency, with a greater degree of consistency, than students using ...

Math Is Not A Spectator Sport: Student-Driven Problem Solving In The Classroom, 2015 Western University

#### Math Is Not A Spectator Sport: Student-Driven Problem Solving In The Classroom, Allen O'Hara

*Teaching Innovation Projects*

One of the most important overlooked components in mathematics education is ensuring that students understand the logic and proof process. This workshop addresses this gap in pedagogy by introducing university math lecturers to two strategies for teaching the experimental nature of math results. The first strategy (problem-solving methods) involves describing the reasoning behind mathematical proofs (i.e., a series of logical statements establishing a conclusion from given premises), and the second strategy (student-driven problem solving) puts undergraduate students in charge of solution development using guided discussion and collaboration. While the first method teaches the tools of proof and allows the ...

Stealth Assessment In Video Games, 2015 Florida State University

#### Stealth Assessment In Video Games, Val Shute

*From 2009 - 2014 ACER Research Conference series*

Games can be powerful vehicles to support learning, but their success in education hinges on getting the assessment part right. In this presentation, I will explore how games can use stealth assessment to measure and support the learning of competencies critical for the future. I will discuss what stealth assessment is, why it is important, and how to develop and accomplish it. I will also provide examples within the context of a game called *Physics Playground *that I designed and developed with my team. I’ll share what has been learned by recent research on stealth assessments in games, including ...

Session L: Measuring What Matters: Challenges And Opportunities In Assessing Science Proficiency, 2015 University of Illinois at Chicago

#### Session L: Measuring What Matters: Challenges And Opportunities In Assessing Science Proficiency, James W. Pellegrino

*From 2009 - 2015 ACER Research Conference series*

A key challenge in shaping science learning for the future will be to develop new measures of learning that take into account what it means to be proficient in science (Pellegrino, 2013). The emergent view on proficiency, grounded in learning sciences research, emphasises using and applying knowledge in the context of disciplinary practice. Referred to as knowledge-in-use, this perspective on science proficiency is a centrepiece of the United States’ National Research Council’s (NRC) Framework for K–12 Science Education (NRC, 2012), embodied in the new US national standards (NGSS Lead States, 2013) and emphasised in the recently released NRC ...

Session H: Pisa: Behind The Headlines And Past The Rankings, 2015 ACER

#### Session H: Pisa: Behind The Headlines And Past The Rankings, Sue Thomson, Chris Wardlaw

*From 2009 - 2014 ACER Research Conference series*

Whenever the results of the Programme for International Student Assessment (PISA) are announced, media headlines are full of reports about rankings, about how many countries Australia is outperformed by and outperforms. In early rounds of PISA, Australia ranked among the top 10 countries across all three education domains assessed. However, over time Australia’s position has declined, rather than improved, and Australia no longer sits in the top 10 of any of the assessed domains. This presentation will go behind the headlines and past the rankings, to look at where Australia has declined, and look at how we can improve ...

The Use Of Argumentation In Socio-Scientific Issues: Enhancing Evolutionary Biology Instruction, 2015 The College at Brockport

#### The Use Of Argumentation In Socio-Scientific Issues: Enhancing Evolutionary Biology Instruction, Heath R. Marchand

*Education and Human Development Master's Theses*

With the adoption of the Next Generation Science Standards (NGSS), further emphasis in science education is being placed on preparing students to become more informed voters regarding social, ethical, economic and political topics that affect contemporary society. Parallel to this shift is a stronger emphasis on integrating evolutionary theory as a unifying concept in the biological sciences. Given that evolution is one of the aforementioned topics commonly discussed and debated about in social and political arenas, ensuring that instruction provides students from all backgrounds a comprehensive understanding of its principals is becoming increasingly important in contemporary science education. Chapter II ...

Assessing Awareness, Interest, And Knowledge Of Fractal Geometry Among Secondary Mathematics Teachers In The United States And China, 2015 University of Southern Mississippi

#### Assessing Awareness, Interest, And Knowledge Of Fractal Geometry Among Secondary Mathematics Teachers In The United States And China, Suanrong Chen

*Dissertations*

Fractal geometry has gained great attention from mathematicians and scientists in the past three decades (Fraboni, & Moller, 2008). As a new geometry language and subject, fractal geometry has significant value in teaching and learning secondary mathematics. The present study focused on investigating the current state of mathematics teachers’ awareness, interest, and knowledge of fractal geometry in the U.S. and China, as well as the factors that influence them.

The instrument of the study included a survey and a test designed by the researcher and validated by five experts. The results of the study indicated that secondary math teachers in ...

What Concerns Are Secondary Mathematics Teachers Experiencing With The Implementation Of The Common Core State Standards For Mathematics And Is There A Relationship Between The Concerns And Professional Development Received?, 2015 University of Southern Mississippi

#### What Concerns Are Secondary Mathematics Teachers Experiencing With The Implementation Of The Common Core State Standards For Mathematics And Is There A Relationship Between The Concerns And Professional Development Received?, Suzanne Therez Jennings

*Dissertations*

Using the Concerns Based Adoption Model (CBAM) as the theoretical framework, this mixed-methods study utilized three research methods, quantitative, profile interpretation, and qualitative to answer the research questions to investigate the concerns teachers were experiencing during the first year of implementing the Common Core State Standards for Mathematics (CCSSM) and to determine if professional development affected those concerns. The Stage of Concern questionnaire which included two open-ended questions was employed to survey 88 secondary Mississippi mathematics teachers. MANOVA was used to investigate any differences in the means of the relative levels of intensity present within the subgroups which are inconclusive ...

Investigating How Students Communicate Tree-Thinking, 2015 University of Southern Mississippi

#### Investigating How Students Communicate Tree-Thinking, Carrie Jo Boyce

*Dissertations*

Learning is often an active endeavor that requires students work at building conceptual understandings of complex topics. Personal experiences, ideas, and communication all play large roles in developing knowledge of and understanding complex topics. Sometimes these experiences can promote formation of scientifically inaccurate or incomplete ideas. Representations are tools used to help individuals understand complex topics. In biology, one way that educators help people understand evolutionary histories of organisms is by using representations called phylogenetic trees. In order to understand phylogenetics trees, individuals need to understand the conventions associated with phylogenies.

My dissertation, supported by the Tree-Thinking Representational Competence and ...

Suburban Leaders Who Have Made A Difference: Jose Torres, 2015 Illinois Math and Science Academy

#### Suburban Leaders Who Have Made A Difference: Jose Torres, José M. Torres

*José M. Torres*

This week we are featuring Dr. Jose Torres, the president of Aurora-based Illinois Mathematics and Science Academy. Torres was superintendent of Elgin Area School District U-46 from 2008 to 2014 and has served in various leadership roles, including regional superintendent/area instruction officer in Chicago Public Schools, and as the only superintendent on the Federal Equity and Excellence Commission of the United States Department of Education. Torres was one of three educators nationwide to receive the 2014 Dr. Effie H. Jones Humanitarian Award from the AASA, the school superintendents association.

The Relationship Between An Affective Instructional Design, Children’S Attitudes Toward Mathematics, And Math Learning For Kindergarten-Age Children, 2015 East Tennessee State University

#### The Relationship Between An Affective Instructional Design, Children’S Attitudes Toward Mathematics, And Math Learning For Kindergarten-Age Children, Wendee B. White Mrs

*Electronic Theses and Dissertations*

This study explores the relationship between an Affective Instructional Design (AID), children’s attitudes toward math, and math learning. Participants included 15 kindergarten children at a university K-12 laboratory school located in East Tennessee. This quasi-experimental study employed a pretest-intervention (AID)-posttest design. Data, including pretest/posttest attitude surveys, and baseline and intervention non-participant video observations of math learning and math attitudes, during 13 math lessons were coded and analyzed. As hypothesized, a significant positive correlation (r = 0.936, p = 0.000) was found between attitude and math learning. Additionally significant differences were found between the baseline (pre-intervention) mean score ...

Naturalists’ Perspectives On The Use Of Mobile Technology During A Nature Hike, 2015 University of Southern Mississippi

#### Naturalists’ Perspectives On The Use Of Mobile Technology During A Nature Hike, Aubin Marishka Radzewicz St. Clair

*Master's Theses*

Naturalists act as our link between scientific knowledge and the public’s understanding of natural history and conservation efforts. In order for them to succeed, they need access to reference materials as well as up-to-date information (Mankin, Warner, & Anderson, 1999). Incorporating mobile technology (i.e. tablets) into naturalists’ endeavors in natural history and environmental education can be used as supportive and educational tools. My project investigated how newly trained naturalists used tablet technology while leading groups of children on nature hikes. I investigated naturalists’ views on the use of mobile technology as a tool during the hikes. My research was ...

Learning Support Effectiveness In Mathematics At A Tennessee University, 2015 East Tennessee State University

#### Learning Support Effectiveness In Mathematics At A Tennessee University, Mark Dula

*Electronic Theses and Dissertations*

Every year thousands of students graduate from high school and move on to higher education, but many of them are not yet prepared for college level courses. The Tennessee Board of Regents does not currently allow 4-year institutions to teach courses that are below college level, so many institutions are using programs such as learning support courses to assist a growing population of underprepared students. The purpose of this study was to determine if the 1-term and 2-term retention rates for students with the same ACT mathematics subsection scores were different between students who took a regular section of Probability ...

Chemical Oxygen Demand Reduction Using The Algae Dunaliella Primolecta And Chlorella Vulgaris, 2015 California State University - Fresno

#### Chemical Oxygen Demand Reduction Using The Algae Dunaliella Primolecta And Chlorella Vulgaris, Angeles L. Mora, Alejandro Hernandez, Alejandro Calderón-Urrea

*STAR (STEM Teacher and Researcher) Program Posters*

Farm industry wastewater is characterized by high organic materials and by high chemical oxygen demand (COD). Farms with large livestock and poultry operations can be a major source of wastewater thus a major concern for effective environmental and industrial management. Effective environmental and industrial management are high in cost therefor biofuels produced from plants have a potential of replacing a portion of fossil fuel consumption with a renewable efficient alternative. Due to California’s water crisis in the recent years, it is questioned if a biological treatment system that uses algal growth to create renewable energy in the form of ...

Reflections On Math Students’ Circles: Two Personal Stories From Colorado, 2015 University of Colorado, Denver

#### Reflections On Math Students’ Circles: Two Personal Stories From Colorado, Diana White, Lori Ziegelmeier

*Journal of Humanistic Mathematics*

Math Students’ Circles provide an opportunity for mathematicians to work in their communities to engage young students in mathematics as a human, aesthetic, and social endeavor. Sometimes referred to simply as Math Circles, these venues give mathematicians experience in introducing children to topics not typically seen in school curricula in an exciting, hands-on format. This article explores two Math Students’ Circles (MSCs) in the state of Colorado from the point of view of two pre-tenure faculty members. One participated in MSCs for four years while working on her Ph.D. in mathematics, the other started an MSC as an offshoot ...

On Similarities And Differences Between Proving And Problem Solving, 2015 University of Oklahoma

#### On Similarities And Differences Between Proving And Problem Solving, Milos Savic

*Journal of Humanistic Mathematics*

A link between proving and problem solving has been established in the literature [5, 21]. In this paper, I discuss similarities and differences between proving and problem solving using the *Multidimensional Problem-Solving Framework* created by Carlson and Bloom [2] with *Livescribe*pen data from a previous study [13]. I focus on two participants’ proving processes: Dr. G, a topologist, and L, a mathematics graduate student. Many similarities between the framework and the proving processes of Dr. G and L were revealed, but there were also some differences. In addition, there were some distinct differences between the proving actions of the ...

Attitudes And Experiences In Liberal Arts Mathematics, 2015 Claremont Graduate University

#### Attitudes And Experiences In Liberal Arts Mathematics, Jennifer Clinkenbeard

*Journal of Humanistic Mathematics*

For many university students, the last formal experience in a mathematics classroom is a single semester “general education” mathematics class. Traditionally, students in this type of class often hold negative attitudes towards mathematics. Here I study a sample of students from this population (49 students at a large, urban, comprehensive public university enrolled in a “math for liberal arts majors” course) to research whether a positive experience in a freshman-level general education mathematics course correlates with a positive change in the students’ attitude towards mathematics in general. I also explore which specific aspects of such a course contribute most to ...

E-Brock Bugs©: An Epistemic Mathematics Computer Game, 2015 Université de Montréal

#### E-Brock Bugs©: An Epistemic Mathematics Computer Game, Laura Broley, Chantal Buteau, Eric Muller

*Journal of Humanistic Mathematics*

Devlin in [7] argues that video games are an ideal medium for the teaching and learning of mathematics, though he points out that very few ’good’ mathematics video games exist. Building on a probabilistic board game developed in the 1980s, we created a mathematics computer game, *E-Brock Bugs*. The design of the game carefully follows Devlin’s principles of a good mathematics video game, including a well-developed storyline, the selection of an in-game avatar, and an environment where mathematics arises in a natural and meaningful way. As a result, we argue that *E-Brock Bugs* is an epistemic computer game [1 ...

#### Book Review: Bigalke, T. W., & Zurbuchen, M. S. (Eds.). (2014). Leadership For Social Justice In Higher Education: The Legacy Of The Ford Foundation International Fellowships Program. Palgrave Macmillan. 250 Pages. Isbn: 9781137366498, Budi Waluyo

*FIRE: Forum for International Research in Education*

BOOK REVIEW: Bigalke, T. W., & Zurbuchen, M. S. (Eds.). (2014). *Leadership for Social Justice in Higher Education: The Legacy of the Ford Foundation International Fellowships Program*. Palgrave Macmillan. 250 pages. ISBN: 9781137366498