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2015

Mathematics

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Full-Text Articles in Education

Analyzing Mathematics And Ap Statistics Assessment Items In Terms Of The Levels Of Thinking Skills They Assess, Shadreck S. Chitsonga Dec 2015

Analyzing Mathematics And Ap Statistics Assessment Items In Terms Of The Levels Of Thinking Skills They Assess, Shadreck S. Chitsonga

Georgia Educational Researcher

This study is a part of a large study that investigated the Assessment Practices of Mathematics Teachers who also teach AP Statistics. In this paper I investigate the thinking skills that assessment items used mathematics and AP Statistics classroom assess. Two teachers who were teaching mathematics and AP Statistics participated in this study. Each teacher was observed 12 times in class. Artifacts were also collected from each teacher, mainly oral questions and written questions. A mathematics taxonomy framework was used to analyze the characteristics of the assessment items. The results of the study indicated that assessment questions (oral and written ...


High School Calculus: Is Ap Calculus The Best Option?, Katrijn Moulin Dec 2015

High School Calculus: Is Ap Calculus The Best Option?, Katrijn Moulin

Education and Human Development Master's Theses

In the 2015-2016 academic school year, 3.3 million high school seniors are expected to graduate, and six percent of them are gifted and talented individuals who may be entering an AP Calculus course. Research shows that many students entering AP Calculus end up terminating their mathematical careers before even starting college. This thesis provides an alternative approach to AP Calculus; a non- AP Calculus exemplar unit that provides deeper conceptual knowledge of the slope, connected to the derivative, which may better prepare students for their college mathematics career. High school is a place to encourage students to accomplish their ...


A Spiraling Curriculum Project On Factoring In Algebra I Aligned With The New York State Common Core State Standards, Katie Elkins Dec 2015

A Spiraling Curriculum Project On Factoring In Algebra I Aligned With The New York State Common Core State Standards, Katie Elkins

Education and Human Development Master's Theses

Our nation is experiencing a paradigm shift from the National Council Teachers of Mathematics (NCTM) Standards to the Common Core State Standards (CCSS). This shift is leaving teachers with a lack of resources to support these new standards. This Spiraling Curriculum project on factoring was created to be used in an Algebra I classroom and is aligned with the NYS CCSS. The Spiraling Curriculum is designed to help students activate relevant prior knowledge as well as continuously return to topics at a progressively deeper level, allowing connections to be made throughout topics and units.

A table of contents is provided ...


Using Guided Math And Flipped Learning In A Fifth Grade Fractions Unit, Kristin Leigh Moore Dec 2015

Using Guided Math And Flipped Learning In A Fifth Grade Fractions Unit, Kristin Leigh Moore

School of Education Student Capstone Theses and Dissertations

The research question addressed in this project was: How can I design a math curriculum that will increase fifth grade students’ understanding of fraction concepts? The author began her research by investigating the struggles elementary students face when learning fraction concepts, which led to a study of four instructional strategies: ability grouping, differentiation, flipped learning, and guided math. The author considered the work of Boaler, Sammons, Tomlinson, Tucker, and Vann to inform her research. After careful reflection on the benefits and limitations of each strategy, the author chose to create a hybrid unit utilizing both guided math and flipped learning ...


Increasing Number Sense At The Preschool Level, Sarah Marie Koenig Dec 2015

Increasing Number Sense At The Preschool Level, Sarah Marie Koenig

School of Education Student Capstone Theses and Dissertations

This capstone addresses the question, “What strategies can be used to increase number sense at the preschool level?”. Current research states that preschoolers need opportunities to learn about numbers and math concepts through a balance of natural play and exploration, intentional teaching, and structured learning activities embedded in their daily routines. Through the process of curriculum design using McTighe and Wiggins’ Understanding By Design framework, the author created a learning plan that includes lessons, resources, and parent/child activities using a variety of instructional strategies to teach number sense at the preschool level. The learning plan includes a sequence of ...


When And Why Do Native English Speaking Students In A Spanish Immersion Setting Switch Into English During Math Instruction?, Samantha Marie Judith Holland Dec 2015

When And Why Do Native English Speaking Students In A Spanish Immersion Setting Switch Into English During Math Instruction?, Samantha Marie Judith Holland

School of Education Student Capstone Theses and Dissertations

This study addressed when and why do native English speakers in a Spanish immersion switch into English during math instruction? This capstone studied 30 students in a Spanish immersion school in an affluent suburban area in the Upper Midwest. The author used literature from other types of immersion schools to highlight the lack of research on native English speakers in immersion settings. This capstone used audio- recordings, questionnaires and open-ended interviews to research the question. The researcher concludes that teaching Spanish vernacular in the immersion model would decrease the amount of English in the math classroom and that language objectives ...


The Effects Of Metacognitive Writing On Student Achievement In Advanced Placement Calculus, Lindsay M. O'Neal Dec 2015

The Effects Of Metacognitive Writing On Student Achievement In Advanced Placement Calculus, Lindsay M. O'Neal

Education Dissertations

Grounded in metacognitive theory (Flavell, 1976) and historical foundations that reach back as far as the writings of Plato (1973), the last few decades have seen an increase in research regarding the impact of metacognitive practice on student learning, often through the use of reflective writing. Studies have focused on a range of aspects, from how to measure metacognition to the effect metacognitive practice has on the academic achievement of students in a variety of subject areas. Specifically with regard to mathematics, researchers have studied the impact of reflective strategies on primary, secondary, and university level students.

The purpose of ...


The Impact Of An Interactive Technology Application On Elementary Student Achievement In Fractions., Shannon M. Stone Dec 2015

The Impact Of An Interactive Technology Application On Elementary Student Achievement In Fractions., Shannon M. Stone

Electronic Theses and Dissertations

Data reported locally and nationally show that students struggle to understand fractional concepts. The purpose of this study was to examine the effects of an interactive tablet application on student achievement in fractions. Students in grades three through five at the treatment school worked with an interactive tablet application designed to facilitate student construction of fractions knowledge. The interactive tablet application is an open-platform that allowed teachers the autonomy to work with the researcher to load their desired content activities on the topic of fractions to develop instructional sessions for students. Students worked independently during the math workshop to complete ...


Montessori Mathematics Curriculum And Lower Elementary Students Understanding Of Length Measurement, Katherine L. Mcintosh Dec 2015

Montessori Mathematics Curriculum And Lower Elementary Students Understanding Of Length Measurement, Katherine L. Mcintosh

Masters of Arts in Education Action Research Papers

The intent of this action research project was to determine to what extent the Montessori Mathematics curriculum support lower elementary students’ understanding of length measurement. The research took place in a private Montessori school classroom with first and second-grade students. There were 22 students in the class, 11 first graders, and 11 second-graders. Data was collected through a pre and post-test, field notes, and observations. The students also kept a journal and performed self-assessments. Photographs were taken to record the students’ use of different measurement tools. Children’s literature about length measurement was read and discussed with the students. The ...


Investigating Teachers' Content Knowledge And Pedogogical Content Knowledge In A Middle School Physical Science Curriculum On Force And Motion, Daniel Patrick Laverty Dec 2015

Investigating Teachers' Content Knowledge And Pedogogical Content Knowledge In A Middle School Physical Science Curriculum On Force And Motion, Daniel Patrick Laverty

Electronic Theses and Dissertations

Teaching is a profession that requires the incorporation of many types of knowledge in order to create effective instructional experiences that promote student learning. Teachers need to blend their knowledge of the content with the methods for delivering that content and an understanding of their students' thinking. With increasing concern in the United States over student achievement in science and mathematics, there is ongoing discussion about which elements of teacher knowledge most directly correlate with effective instruction. How do specific strands of teacher knowledge blend to influence student learning outcomes? This study explores the roles of teacher content knowledge (CK ...


Understanding The Meaning Of The Equal Sign : An Investigation Of Elementary Students And Teachers., Victoria Miller Bennett Dec 2015

Understanding The Meaning Of The Equal Sign : An Investigation Of Elementary Students And Teachers., Victoria Miller Bennett

Electronic Theses and Dissertations

The purpose of this study was to investigate the impact of two different policies for implementing new mathematics standards in two schools, for grades two through five, on student understanding of the equal sign. The study also examined teachers’ knowledge of the equal sign. The research used a mixed methods design to explore differences in student understanding of the equal sign as a result of how standards were implemented in two adjoining states with two different decisions as to when the standards would be implemented. This dissertation shares research that may be of interest to teachers, administrators, teacher educators and ...


Learning Support Effectiveness In Mathematics At A Tennessee University, Mark Dula Dec 2015

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 ...


Building Depth Of Understanding Of The Concept Of Number Sense And Algebra In Students Grades 7 And 8, Catherine Janes Dec 2015

Building Depth Of Understanding Of The Concept Of Number Sense And Algebra In Students Grades 7 And 8, Catherine Janes

Graduate Master's Theses, Capstones, and Culminating Projects

Mathematics instruction offers both challenges and rewards to students. Teachers tend to focus on transmission of knowledge. Student creativity and problem-solving skills are not typically activated with common teaching practices. When students are engaged in mathematics they are recognizing patterns, making connections on their own, coming up with creative solutions, and discussing mathematical ideas with peers and adults. The purpose of this study was to identify, employ, and evaluate strategies that engage students in these practices and assist them in developing a deep understanding of mathematics concepts such as number sense and algebra.

The review of the literature began with ...


How Can Teachers Use Video Games To Teach Their Students Mathematics?, Jeremiah I. Holden, C. Williams Nov 2015

How Can Teachers Use Video Games To Teach Their Students Mathematics?, Jeremiah I. Holden, C. Williams

Remi Holden

Imagine a veteran mathematics educator eager to refine her practice. Alternatively, what of the first-year teacher confident in her ability to adapt new technologies to communicate, problem-solve, and share information. How might either identify what makes video games and gameplay effective in a mathematics classroom? What are the advantages of game-based learning in contrast to more traditional instructional strategies, and can pitfalls be avoided, successes recognized, and challenges mitigated? We recommend:

  • Investigating online resources and communities, including GameDesk's Educade , Common Sense Media's Graphite , MinecraftEdu , and Playful Learning to find teacher-recommended games;
  • Playing game demos, envisioning how students' play ...


Flipping In A Technological Rich Classroom, John W. Budge Oct 2015

Flipping In A Technological Rich Classroom, John W. Budge

EDL Sixth Year Theses

The purpose of this study was to explore eighth grade students’ perception of a flipped classroom environment. It is difficult to engage and motivate eighth grade students. This study was created in order to determine if a flipped classroom would spark more interest and therefore eventually lead to an increased ability. More specifically, this study investigated how students perceive their learning is progressing in a flipped math classroom, and how engaged are they using the technology compared to the traditional classroom setting. The classroom environment was switched to a flipped classroom at the start of a new unit in October ...


Png Curriculum Reform Implementation Project : Implementation Project Report On The Pilot Curriculum Standards Monitoring Test, Chris Freeman, Prue Anderson, George Morgan Sep 2015

Png Curriculum Reform Implementation Project : Implementation Project Report On The Pilot Curriculum Standards Monitoring Test, Chris Freeman, Prue Anderson, George Morgan

Prue Anderson

This report presents an analysis of the test data from the Curriculum Standards Monitoring Test (CSMT) Pilot program, conducted in 2003 - 2004. It has been prepared by the Australian Council for Educational Research (ACER) on behalf of the Department of Education (DoE), with the support of the Curriculum Reform Implementation Project (CRIP). The terms of reference for the pilot CSMT required ACER and Curriculum Development Division (CDD) to conduct an assessment of PNG student achievements in literacy and numeracy in Grades 3, 4, 5 and 8 against the then current curriculum, taking into account also the outcomes of the new ...


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 ...


Ambiguity In Speaking Chemistry And Other Stem Content: Educational Implications, Mick D. Isaacson, Michelle Michaels Sep 2015

Ambiguity In Speaking Chemistry And Other Stem Content: Educational Implications, Mick D. Isaacson, Michelle Michaels

Journal of Science Education for Students with Disabilities

Ambiguity in speech is a possible barrier to the acquisition of knowledge for students who have print disabilities (such as blindness, visual impairments, and some specific learning disabilities) and rely on auditory input for learning. Chemistry appears to have considerable potential for being spoken ambiguously and may be a barrier to accessing knowledge and to learning. Educators in chemistry may be unaware of, or have limited awareness of, potential ambiguity in speaking chemistry and may speak chemistry ambiguously to their students. One purpose of this paper is to increase awareness of potential ambiguity in speaking chemistry and other STEM fields ...


Elementary Students’ Perceptions Of Gender Equity In Mathematics Classes, Debra Jacobson Sep 2015

Elementary Students’ Perceptions Of Gender Equity In Mathematics Classes, Debra Jacobson

Doctoral Dissertations and Projects

There have been various research studies stating that in elementary school, gender bias in all subjects is nonexistent. However, other researchers interested in gender equity in the mathematics classroom have recognized that gender bias does not occur in early elementary school grades but exists by middle school. Thus, research in this area is greatly needed. This study examined children in the third, fourth, and fifth grades to determine whether students’ perceptions of their own mathematical abilities relate to their perceptions of their teacher’s beliefs about gender bias in mathematics. Pearson Product-Moment correlation and Point-Biserial correlations were used to analyze ...


Integrating Writing In The Middle-Level Mathematics Classroom: An Action Research Study, Alyssa Beavers, Brandon L. Fox, Jamaal Young, Elizabeth M. Bellows, Leah Kahn Aug 2015

Integrating Writing In The Middle-Level Mathematics Classroom: An Action Research Study, Alyssa Beavers, Brandon L. Fox, Jamaal Young, Elizabeth M. Bellows, Leah Kahn

MLET: The Journal of Middle Level Education in Texas

Discourse in mathematics refers to the written and oral communication that occurs in the mathematics classroom. Yet, in many classrooms in the United States, writing is often taught remotely in the classroom of a language arts teacher. In this action research project, our focus was on improving students’ written expressions and explanations in the middle-level mathematics classroom. The purpose of this action research was to examine and evaluate the effect writing has on students’ mathematical thinking processes and skills. Over the course of eight weeks, students were presented with various writing assignments in mathematics. Students were given approximately 20 minutes ...


Describing State Level Mathematical Growth Using The Student Growth Percentile (Sgp) Methodology, Darin C. Kelberlau Aug 2015

Describing State Level Mathematical Growth Using The Student Growth Percentile (Sgp) Methodology, Darin C. Kelberlau

Darin C Kelberlau

The purpose of this study was to describe growth in student mathematics performance at the student and group levels as measured by the statewide mathematics test in Nebraska. Student groupings analyzed for differences in growth patterns were cohorts (elementary and middle school aged students), growth categories, grade levels, gender, ethnicity, students receiving special education (SPED) services, students receiving support services due to English not being their native language (ELL). Building differences were defined by average number of students per grade level (size), levels of student performance, levels of students receiving SPED services, and levels of students receiving ELL services. The ...


Achievement In Mathematics And Self-Concept Among Gifted Female High School Seniors, Leah M. Battin Aug 2015

Achievement In Mathematics And Self-Concept Among Gifted Female High School Seniors, Leah M. Battin

School of Education Student Capstone Theses and Dissertations

The author sought to explore the research question, What is the relationship between mathematics achievement and self-concept of gifted female high school seniors? Review of the literature included discussions of definitions and stereotypes of giftedness, gender differences in math/STEM attitudes and achievement, malleable versus fixed intelligence and ability in math, self-concept, and stereotype threat. The author worked with gifted female high school students at a summer camp for gifted students in South Dakota. Participants were recruited from the group of young women who had finished the camp in 2014. Of 20 young women contacted, five returned letters of consent ...


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 Aug 2015

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 ...


Using Graphic Organizers, Cooperative Learning, And Written Reflection To Improve Mathematics Problem Solving Skills, Kara Jean Odegaard Aug 2015

Using Graphic Organizers, Cooperative Learning, And Written Reflection To Improve Mathematics Problem Solving Skills, Kara Jean Odegaard

School of Education Student Capstone Theses and Dissertations

The research question addressed is, how can cooperative learning, graphic organizers, and writing improve eighth grade advanced geometry students’ problem solving skills? The motivating factor for this capstone was students being unsuccessful when trying to solve an assignment which required synthesizing information and problem solving. This capstone documents the process of having students complete problem solving assignments using a graphic organizer, cooperative learning, and reflecting on the assignment through writing. The researcher found success and struggles with the use of these tools and concludes that 1) students were more successful in the problem solving process when they used the graphic ...


Mathematical Game Creation And Play Assists Students In Practicing Newly-Learned Challenging Concepts, Kalyn Jon Cody, Audrey C. Rule, Benjamin R. Forsyth Aug 2015

Mathematical Game Creation And Play Assists Students In Practicing Newly-Learned Challenging Concepts, Kalyn Jon Cody, Audrey C. Rule, Benjamin R. Forsyth

Curriculum & Instruction Faculty Publications

Twenty-four high-performing fifth grade students (aged 10 - 11 years) participated in a year-long study in which conditions alternated for six instructional units between lecture-based mathematics instruction and practice through solving additional problems in small groups versus practice through designing and playing mathematics games related to the topic. Students scored similarly on all units at the time of the posttest. Creating games allowed students to examine concepts on their own, making sense of them at a deeper level, avoiding confusion. Game-making may also have made the mathematics more personal, relevant, and interesting. The authors suggest that mathematics teachers consider adding game-making ...


Attitudes And Experiences In Liberal Arts Mathematics, Jennifer Clinkenbeard Jul 2015

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 ...


Teacher Beliefs And The Common Core State Standards For Mathematics, Erin M. Smith Jul 2015

Teacher Beliefs And The Common Core State Standards For Mathematics, Erin M. Smith

School of Education Student Capstone Theses and Dissertations

Widespread adoption of the Common Core State Standards for Mathematics (CCSSM) marks an unprecedented event in American education: nearly all students have an opportunity to learn the same mathematics content at the same stage of their K-12 educational experience. One goal of the CCSSM is to promote mathematics educational equity and excellence through common, rigorous standards. However, common standards may not translate to a common learning experience for all students. Teachers’ mathematical beliefs act as filters through which new information is interpreted and dispositions toward actions taken in the classroom. This study examined this beliefspractice relationship by asking two questions ...


What International Surveys Tell Us About Australians' Mathematical Foundations, Dave Tout, James Spithill Jul 2015

What International Surveys Tell Us About Australians' Mathematical Foundations, Dave Tout, James Spithill

David (Dave) Tout

This presentation will look at some key messages from the Australian results of the Program for International Student Assessment (PISA) and the Programme for the International Assessment of Adult Competencies (PIAAC), both released at the end of 2013. PISA assessed the mathematical literacy of 15 year-olds around Australia, whilst PIAAC assessed the numeracy proficiency of adults aged 15–74. What do the two surveys assess and are they telling a similar story? How solid are Australia’s mathematical foundations and what do they say about teaching and learning? How do Australia’s results compare internationally with those leading the field ...


Next Generation Science Standards And Place-Based Education: An Intrinsic Case Study Of Teacher Experience, Sarah Jane Hackworth Jul 2015

Next Generation Science Standards And Place-Based Education: An Intrinsic Case Study Of Teacher Experience, Sarah Jane Hackworth

SMTC Plan B Papers

Research demonstrates that place-based education can help connect formal science standards to students’ lived experiences, both in and out of school, thus increasing the relevancy of what students are learning (Dentzau, 2014). However, there has been no research conducted to date that shows how place-based practices can be integrated into curriculum developed using the Next Generation Science Standards (NGSS). This intrinsic case study research aims to describe elementary school teachers’ experiences in integrating principles of place-based education within curricular units developed using the NGSS. A focus group and open-ended survey were used to gain a better understanding of teacher experience ...