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Full-Text Articles in Science and Mathematics Education

Beliefs About Effective Instructional Practices Among Middle Grades Teachers Of Mathematics, Lauren A. Dale Aug 2020

Beliefs About Effective Instructional Practices Among Middle Grades Teachers Of Mathematics, Lauren A. Dale

Boise State University Theses and Dissertations

This study explores beliefs about effective mathematics instruction among middle grades teachers of mathematics. Using prior syntheses of research on instructional practices linked to students’ mathematics achievement, the conceptual framework draws on features and strategies associated with Explicit Attention to Concepts (EAC) and Student Opportunities to Struggle (SOS). Data sources include mathematics teachers’ self-reported priorities, comfort, and frequency of implementing EAC and SOS strategies, as well as the participants’ teaching context and school demographics. Participants include 98 full-time Grades 6-8 mathematics teachers from 22 districts, and 34 schools in southwest and central Idaho. Findings include positive correlations among EAC and ...


Truth, Success, And Faith: Novice Teachers’ Perceptions Of What's At Risk In Responsive Teaching In Science, Amy D. Robertson, Leslie J. Atkins Elliott Jul 2020

Truth, Success, And Faith: Novice Teachers’ Perceptions Of What's At Risk In Responsive Teaching In Science, Amy D. Robertson, Leslie J. Atkins Elliott

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

Responsive teaching—or teaching that builds from the “seeds of science” in student thinking—is depicted in STEM education literature as both important and challenging. U.S. science education reform has been calling for teachers to enact instruction that attends to and takes up the substance of students’ STEM ideas; however, responsive teaching represents a substantial shift from the current state of affairs in most U.S. classrooms, where content is often presented authoritatively as facts, definitions, and algorithms, with little consideration of student thinking. Drawing on language from literature about sense‐making, this paper identifies some of the “vexation ...


Designing Stem Experiences For The Family In Order To Develop Stem Family Habitus And Capital, Soñia Galaviz May 2020

Designing Stem Experiences For The Family In Order To Develop Stem Family Habitus And Capital, Soñia Galaviz

Boise State University Theses and Dissertations

Ethnic minority students and low-income students are grossly underrepresented in demonstrating interest and aspirations in science, evidence of science participation, and subsequent capital. Members of these populations do not often embrace a STEM identity or recognize that science, technology, engineering, and math are for them. While schools struggle to innovate in terms of how best to engage and increase aspirations and opportunities in STEM for these underrepresented populations, the family continues to be the most ignored contributor to a student’s STEM identity. Families play an important role in influencing their students’ attitudes, interests, aspirations, and achievements in STEM. While ...


Understanding Second Grader’S Computational Thinking Skills In Robotics Through Their Individual Traits, Youngkyun Baek, Dazhi Yang, Yibo Fan Nov 2019

Understanding Second Grader’S Computational Thinking Skills In Robotics Through Their Individual Traits, Youngkyun Baek, Dazhi Yang, Yibo Fan

Educational Technology Faculty Publications and Presentations

This study investigated the relationship between the personal traits and computational thinking skills of second graders within the context of robotics activities. The hypothesized model showed that learning preference, intrinsic motivation, and self-efficacy were the main predictors of coding achievement and computational thinking skills, while no direct relationship was found between learning preference, intrinsic, or extrinsic motivation. The final path analysis revealed that intrinsic and extrinsic motivation predict self-efficacy, self-efficacy predicts coding achievement, and coding achievement predicts computational thinking skills. Another important finding was the strong impact of self-efficacy on coding achievement as well as computational thinking skills. Results are ...


Elementary School Student Development Of Stem Attitudes And Perceived Learning In A Stem Integrated Robotics Curriculum, Yu-Hui Ching, Dazhi Yang, Sasha Wang, Youngkyun Baek, Steve Swanson, Bhaskar Chittoori Sep 2019

Elementary School Student Development Of Stem Attitudes And Perceived Learning In A Stem Integrated Robotics Curriculum, Yu-Hui Ching, Dazhi Yang, Sasha Wang, Youngkyun Baek, Steve Swanson, Bhaskar Chittoori

Educational Technology Faculty Publications and Presentations

Robotics has been advocated as an emerging approach to engaging K-12 students in learning science, technology, engineering, and mathematics (STEM). This study examined the impacts of a project-based STEM integrated robotics curriculum on elementary school students’ attitudes toward STEM and perceived learning in an afterschool setting. Three elementary school teachers and 18 fourth to sixth graders participated in an eight-week-long program. Quantitative and qualitative data were collected and analyzed, and showed students’ attitudes toward math improved significantly at the end of the robotics curriculum. Three specific areas of learning were identified, including STEM content learning and connection, engagement and perseverance ...


Predicting Third-Grade Mathematics Achievement: A Longitudinal Investigation Of The Role Of Early Numeracy Skills, Allyson J. Kiss, Gena Nelson, Theodore J. Christ Aug 2019

Predicting Third-Grade Mathematics Achievement: A Longitudinal Investigation Of The Role Of Early Numeracy Skills, Allyson J. Kiss, Gena Nelson, Theodore J. Christ

Special Education and Early Childhood Studies Faculty Publications and Presentations

Despite the vast research on the early predictors of mathematics achievement, little research has investigated the predictors of various domains of mathematics (e.g., geometry, statistics). The purpose of the present study was to examine the predictive relationship between first-grade early numeracy and computation skills and third-grade mathematics achievement as measured by a state test. Further, we explored the relations between these measures for students who were Below Proficient and Proficient. Findings suggest that proficiency level matters when examining the relation between mathematics skills. Also, there are different patterns of significant predictors depending on the domain of later mathematics achievement ...


Elementary Students’ Computational Thinking Practice In A Bridge Design And Building Challenge (Fundamental), Dazhi Yang, Youngkyun Baek, Bhaskar Chittoori, William H. Stewart Jun 2019

Elementary Students’ Computational Thinking Practice In A Bridge Design And Building Challenge (Fundamental), Dazhi Yang, Youngkyun Baek, Bhaskar Chittoori, William H. Stewart

Educational Technology Faculty Publications and Presentations

The increased focus on computational thinking (CT) has grown in recent years for various reasons, such as a general concern about (a) a lack of global competitiveness among American students and general literacy in science, technology, engineering, and math (STEM) fields (Hsu & Cardella, 2013), (b) maintaining the economic competitiveness of the U.S. (Yadav, Hong, & Stephenson, 2016), and (c) preparing students adequately for a society that is increasingly technological (NRC, 2011). CT can help individuals analyze and understand multiple dimensions of a complex problem and identify and apply appropriate tools or techniques to address a complex problem (Wing, 2010). Furthermore ...


Using Reflection To Facilitate Writing Knowledge Transfer In Upper-Level Materials Science Courses, Jennifer C. Mallette, Harold Ackler Jun 2019

Using Reflection To Facilitate Writing Knowledge Transfer In Upper-Level Materials Science Courses, Jennifer C. Mallette, Harold Ackler

English Faculty Publications and Presentations

When students enter upper-level engineering courses, they may bring with them unclear or inconsistent approaches to writing in engineering. Influenced by their past experiences with writing, students encountering engineering genres such as reports and proposals may struggle to write successfully. They may struggle in part because of the messiness inherent in writing knowledge transfer: a student who successfully completed freshman composition may still be unable to transfer skills, habits of mind, and approaches to writing from that setting to engineering because the rhetorical situations look drastically different. Yancey, Robertson, and Taczak define transfer as a “dynamic rather than a static ...


Voices Of Our Students: Using Evidence-Based Methods To Inform A Multidisciplinary Engineering Program Design, Vicki Stieha, Noah Salzman, Amy J. Moll Jun 2019

Voices Of Our Students: Using Evidence-Based Methods To Inform A Multidisciplinary Engineering Program Design, Vicki Stieha, Noah Salzman, Amy J. Moll

Materials Science and Engineering Faculty Publications and Presentations

Listening carefully to our students and integrating the variables that matter to them is a step that we can take to increase the number of women and underrepresented minority graduates in engineering. This paper shares an evaluative case study as we report findings from data gathering tools guiding our continuous improvement process. The findings illuminate students’ perceptions of their engineering design course and curriculum. We conclude by discussing the pedagogical decisions the teaching team is making as a result of listening to our students’ voices.


Service-Learning In An Introductory Environmental Science Course: How Participation Impacts Course Content Knowledge And Agency, Mari Rice May 2019

Service-Learning In An Introductory Environmental Science Course: How Participation Impacts Course Content Knowledge And Agency, Mari Rice

Boise State University Theses and Dissertations

Service-learning (SL) is a high-impact pedagogical strategy that has been shown to have both cognitive and affective benefits for students and has the potential to engage and involve a more demographically diverse spectrum of students into the field of STEM. However, research on the impacts of SL in STEM courses is limited, and therefore there is a great need to identify the specific outcomes linked to participation. In addition, faculty from STEM fields have been hesitant to incorporate SL into their curriculum due to perceptions that it lacks academic rigor. This purpose of this mixed-methods case study was to examine ...


Online Laboratory Introductions To Promote Student Interactions With Two Science And Engineering Practices Of The Next Generation Science Standards, Catherine K. Howlett Aug 2018

Online Laboratory Introductions To Promote Student Interactions With Two Science And Engineering Practices Of The Next Generation Science Standards, Catherine K. Howlett

Boise State University Theses and Dissertations

Online science courses are becoming increasingly available to K-12 students in the United States. With the utilization of these courses, it is important to facilitate student completion of laboratories as well as student interest in and use of the science and engineering practices (SEPs) of the Next Generation Science Standards (NGSS). This exploratory research provided online laboratory introductions to help students interact with the content and the instructor. The research studied if the laboratory introductions led students to ask questions about laboratories, complete laboratories, and think about and use two NGSS SEPs, specifically analyzing and interpreting data and constructing explanations ...


The Redshirt In Engineering Consortium: Progress And Early Insights, Janet Callahan, Donna C. Llewellyn, Ann E. Delaney Jun 2018

The Redshirt In Engineering Consortium: Progress And Early Insights, Janet Callahan, Donna C. Llewellyn, Ann E. Delaney

Materials Science and Engineering Faculty Publications and Presentations

The NSF-funded Redshirt in Engineering Consortium was formed in 2016 with the goal of enhancing the ability of academically talented but underprepared students coming from lowincome backgrounds to successfully graduate with engineering degrees. The Consortium takes its name from the practice of redshirting in college athletics, with the idea of providing an extra year and support to help promising engineering students complete a bachelor’s degree. The Consortium builds on the success of three existing “academic redshirt” programs and expands the model to three new schools. The Existing Redshirt Institutions (ERIs) help mentor and train the new Student Success Partners ...


Work In Progress: Institutional Context And The Implementation Of The Redshirt In Engineering Model At Six Universities, Ann Delaney, Donna C. Llewellyn, Janet Callahan Jun 2018

Work In Progress: Institutional Context And The Implementation Of The Redshirt In Engineering Model At Six Universities, Ann Delaney, Donna C. Llewellyn, Janet Callahan

Materials Science and Engineering Faculty Publications and Presentations

Low-income students are underrepresented in engineering and are more likely to struggle in engineering programs. Such students may be academically talented and perform well in high school, but may have relatively weak academic preparation for college compared to students who attended better-resourced schools. Four-year engineering and computer science curricula are designed for students who are calculus-ready, but many students who are eager to become engineers or computer scientists need additional time and support to succeed. The NSF-funded Redshirt in Engineering Consortium was formed in 2016 as a collaborative effort to build on the success of three existing “academic Redshirt” programs ...


Secondary Mathematics Teachers’ Planned Approaches For Teaching Standard Deviation, Maryann E. Huey, Joe Champion, Stephanie Casey, Nicholas H. Wasserman May 2018

Secondary Mathematics Teachers’ Planned Approaches For Teaching Standard Deviation, Maryann E. Huey, Joe Champion, Stephanie Casey, Nicholas H. Wasserman

Mathematics Faculty Publications and Presentations

Research-based guidelines for learning variation exist (e.g., Franklin et al., 2007; Garfield, delMas, & Chance, 2007), but little is known about how teachers plan to teach standard deviation, or how these plans align with recent recommendations. In this article, we survey lesson plans designed by inservice and preservice secondary mathematical teachers. We report on the accuracy, technology usage, and visual representations in the lesson plans. We consider how many elements are used, the level of conceptual development, and the mathematical nature. Findings support differences between preservice and master’s level students in education, as well as a tendency by in-service ...


Mathematics Student Achievement In The Context Of Idaho’S Advanced Opportunities Initiative, Nichole K. Hall May 2018

Mathematics Student Achievement In The Context Of Idaho’S Advanced Opportunities Initiative, Nichole K. Hall

Boise State University Theses and Dissertations

Mathematics coursework a student completes in high school often directly affects their subsequent post-secondary education and career opportunities. In recent years, in a push to prepare a larger number of students for post-secondary education and career opportunities in Idaho, state initiatives have focused on addressing mathematics preparation in the middle grade years to increase the number of students completing an advanced mathematics pathway in high school, including the Advanced Opportunities Initiative to support financial costs of advanced coursework. Starting 2011, each year of the initiative has seen annual increases in students participating in dual credit and Advanced Placement (AP) coursework ...


Redshirt In Engineering: A Model For Improving Equity And Inclusion, Donna C. Llewellyn, Ann Delaney, Janet Callahan Apr 2018

Redshirt In Engineering: A Model For Improving Equity And Inclusion, Donna C. Llewellyn, Ann Delaney, Janet Callahan

Materials Science and Engineering Faculty Publications and Presentations

The NSF-funded Redshirt in Engineering Consortium was formed in 2016 with the goal of enhancing the ability of academically talented but underprepared students coming from low-income backgrounds to successfully graduate with engineering degrees. The Consortium takes its name from the practice of redshirting in college athletics, with the idea of providing an extra year and support to help promising engineering students complete a bachelor’s degree. The Consortium builds on the success of three existing “academic redshirt” programs and expands the model to three new schools. The Existing Redshirt Institutions (ERIs) help mentor and train the new Student Success Partners ...


Examining Validity And Reliability Of A Mathematics Assessment Tool For K-2 Students, Carl F. Siebert, Jonathan L. Brendefur Apr 2018

Examining Validity And Reliability Of A Mathematics Assessment Tool For K-2 Students, Carl F. Siebert, Jonathan L. Brendefur

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

The Primary Math Assessment (PMA) tool is increasingly being used in multiple districts in a northwestern state. The PMA provides both screening and diagnostic information in six domains to assess mathematical proficiency in young students in their early educational years. A previous study using multidimensional Rasch analyses found support for the PMA’s six-dimensional theoretical framework, and that the PMA is a reliable mathematics assessment for early grades. This study extended the examination of a Rasch model, implementing exploratory and confirmatory factor analysis, Item Response Theory, and Differential Item Functioning analyses. In doing so, this study found an IRT 2-PL ...


Focused Video Reflections In Concert With Practice-Based Structures To Support Elementary Teacher Candidates In Learning To Teach Science, Julianne A. Wenner, Julie Kittleson Jan 2018

Focused Video Reflections In Concert With Practice-Based Structures To Support Elementary Teacher Candidates In Learning To Teach Science, Julianne A. Wenner, Julie Kittleson

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

Recommendations for science education, including elementary education, highlight instructional practices such as using discussion to promote deep understandings of science. A task facing science teacher educators is to craft instruction to support teacher candidates (TCs) to develop skills that will encourage such practices in classrooms. In 2011, we developed and implemented a class activity —the Supported, Collaborative Teaching Model (SCTM)—to focus TCs’ attention on key aspects of science teaching. The SCTM, which is designed around the idea that practical experience is critically important to teacher education, involves having TCs teach science to elementary students in three different grade levels ...


Instructional Strategies For High School Ell Refugee Students In Mathematics, Seoyeon Lee Aug 2017

Instructional Strategies For High School Ell Refugee Students In Mathematics, Seoyeon Lee

Boise State University Theses and Dissertations

This study investigates instructional strategies used in high school mathematics classrooms to learn the way teachers modify their lessons to teach late-entry ELL students, including refugees with little or no formal education. Two separate ELL classes, two mainstream classes with mixed groups of ELL students and monolinguistic students, and one mainstream class without late-entry ELL students are observed for this study. Both qualitative analysis regarding teaching English language while using mathematics content, specifically vocabulary acquisition, and quantitative analysis as to how teachers spend their instructional time are used to present the findings of this study. The findings provide a forum ...


Ten Years Later: Where Are They Now?, Janet Callahan, Donna C. Llewellyn, Vicki Stieha, Ann E. Delaney Jun 2017

Ten Years Later: Where Are They Now?, Janet Callahan, Donna C. Llewellyn, Vicki Stieha, Ann E. Delaney

Materials Science and Engineering Faculty Publications and Presentations

This paper explores the educational and career trajectories of the alumnae of an outreach activity for girls. The outreach activity was originally developed using an integrated marketing approach to attract girls into engineering programs.1 The program, a two day, overnight experience for rising 9th, 10th and 11th grade girls, focuses on showcasing engineering as an exciting, creative activity, including activities developed from that perspective. Started in 2005 and held annually since then, a total of over 500 girls have participated, with approximately 85% of them coming from Boise State University’s immediate metropolitan area. Facilitated by ...


Investigating College Instructors’ Methods Of Differentiation And Derivatives In Calculus Classes, Wedad Mubaraki Mar 2017

Investigating College Instructors’ Methods Of Differentiation And Derivatives In Calculus Classes, Wedad Mubaraki

Boise State University Theses and Dissertations

This case study investigates three college instructors’ instructional approaches and their mathematical discourses in the context of calculus (e.g., concepts of limit and derivatives). The analyses focus on ways in which instructors communicate limit and derivative concepts that are observed in the classrooms, using Sfard’s discursive framework (a communicational approach). In particular, instructors’ use of mathematical words while introducing derivative and limit concepts are analyzed, as well as instructors’ ways of using visual mediators such as symbols, numbers, expressions, and graphs are investigated. The findings of the study indicate instructors’ different instructional approaches and differences in their mathematics ...


Examining The Influence Of Number Line Fraction Task Characteristics On Student Work, Sharlee Hatch Dec 2016

Examining The Influence Of Number Line Fraction Task Characteristics On Student Work, Sharlee Hatch

Boise State University Theses and Dissertations

Research supports the claim that classrooms with teachers who respond to student thinking in the mathematics classroom will see greater student gains and student success (Lamon, 1996; Sleep & Boerst, 2012). The topic of fractions is both difficult to teach and learn, but has important implications on future success in mathematics and in life. This study set out to explore the ways in which student work is influenced by characteristics of number line fraction tasks. By examining task type, number line structure, and number choice this study shares the way these task characteristics influenced student strategies. The relationship between task characteristic and student work is examined qualitatively; in addition to how well each task characteristic uncovers three key conceptual understanding fraction ideas: partitioning, iterating, and unitizing. Additionally, this study looks at which task characteristics better highlight informal or intuitive understanding of these key ideas and in what ways. The findings can be used to inform the selection of fraction tasks for the classroom.


The Impact Of Volunteering At A Girls Outreach Activity On Community Formation, Donna C. Llewellyn, Janet Callahan, Amy J. Moll, Catherine Rose Bates Jun 2016

The Impact Of Volunteering At A Girls Outreach Activity On Community Formation, Donna C. Llewellyn, Janet Callahan, Amy J. Moll, Catherine Rose Bates

Materials Science and Engineering Faculty Publications and Presentations

This paper is focused on exploring the motivation for volunteering at an engineering outreach activity. The outreach activity itself involved a two day, overnight experience for 9th and 10th grade girls that started in 2005, and which has been held annually since that time. The outreach event takes place in Boise, Idaho, and at the time of its onset was the only outreach or camp activity in the state focused on girls or young women. Across ten years, 510 total girls have participated, with approximately 85% of them coming from the immediate metropolitan area. The program was developed with a ...


Using Mobile Technology To Engage Middle School Students In The Scientific Practice Of Argumentation Via Screencasting, Patricia Anne Mcginnis May 2016

Using Mobile Technology To Engage Middle School Students In The Scientific Practice Of Argumentation Via Screencasting, Patricia Anne Mcginnis

Boise State University Theses and Dissertations

This case study examined the use of mobile devices in supporting data collection and argumentation in the sixth grade science classroom. Mobile devices were used for data collection during laboratory activities and for constructing screencasts of science arguments. Findings revealed that students exhibit little planning when collecting digital data. Students used the digital data to add visual interest to their screencasts, support observations, and support inferences. Students who used the screencasting application’s narration and annotating tools were more likely to create appropriate and sufficient science arguments than their peers. One of the low achieving students in this study was ...


Improving Middle Grades Stem Teacher Content Knowledge And Pedagogical Practices Through A School-University Partnership, Cherie Mccollough, Tonya Jeffery, Kim Moore, Joe Champion Jan 2016

Improving Middle Grades Stem Teacher Content Knowledge And Pedagogical Practices Through A School-University Partnership, Cherie Mccollough, Tonya Jeffery, Kim Moore, Joe Champion

Mathematics Faculty Publications and Presentations

This paper outlines a University-School District partnership with the intent to increase the number of middle grades mathematics and science teachers. This externally funded initiative includes onsite, authentically situated professional development for pre- and in-service teachers at three different urban, low-socioeconomic schools with a majority Hispanic population of students. Program objectives include increasing mathematics and science content knowledge, increasing self-efficacy in teaching math and science, building and incorporating a success-driven school culture and infrastructure to increase student performance in a well-articulated, scalable and transformable model. Program components include site based common planning times, STEM Thursdays where science and mathematics lessons ...


Support Model For Transfer Students Utilizing The Stem Scholarship Program, Lynn Olson, Amy J. Moll, Doug Bullock, Amit Jain, Janet Callahan Jan 2016

Support Model For Transfer Students Utilizing The Stem Scholarship Program, Lynn Olson, Amy J. Moll, Doug Bullock, Amit Jain, Janet Callahan

Materials Science and Engineering Faculty Publications and Presentations

This paper describes how the College of Engineering at Boise State University utilized a National Science Foundation S-STEM award from 2011 to 2016 to support transfer students in their path toward graduation. The need for this support was a result of both Boise State University College of Engineering’s transition from a 2-year pre-engineering program to the establishment of Bachelors of Science in Engineering Degree programs in 1997 as well as the establishment of the College of Western Idaho as a regional community college in 2007. Both of these factors led to an increase in the numbers of incoming engineering ...


Evolution Of A First-Year Engineering Course, Noah Salzman, Janet Callahan, Gary Leroy Hunt, Carol Sevier, Amy J. Moll Jun 2015

Evolution Of A First-Year Engineering Course, Noah Salzman, Janet Callahan, Gary Leroy Hunt, Carol Sevier, Amy J. Moll

Electrical and Computer Engineering Faculty Publications and Presentations

The first-year engineering course at Boise State University has evolved significantly over the past decade as a result of continuous improvement with a particular focus on student retention. The course was originally created in 1999-2001 as an “Introduction to Engineering” course in order to recruit students to one of the fields of engineering, by introducing those fields of engineering as topics across the semester. Over the first ten years, the course continued that introductory-to-field focus while also introducing a significant design element solving openended engineering problems. As a result of a five-year grant aimed toward improving first-year retention, the first-year ...


Finding Success In Elementary Science Across Socioeconomic Boundaries, Jill K. Hettinger Dec 2014

Finding Success In Elementary Science Across Socioeconomic Boundaries, Jill K. Hettinger

Boise State University Theses and Dissertations

Elementary science education provides a platform for intellectual development, building a foundation of scientific literacy and a first entry point into interest in Science, Technology, Engineering, and Mathematics (STEM) fields. A significant body of research on elementary science education clearly defines what high-quality science education should look like at the elementary level. However, there is little understood about how to implement high-quality science instruction effectively within a school system. Prior research indicates that this problem is further compounded in low socioeconomic elementary schools by a lack of resources, time, and high teacher mobility. I used descriptive research to identify the ...


Gravity & Einstein: Assessing The Rubber Sheet Analogy In Undergraduate Conceptual Physics, Tiffany Rae Watkins Aug 2014

Gravity & Einstein: Assessing The Rubber Sheet Analogy In Undergraduate Conceptual Physics, Tiffany Rae Watkins

Boise State University Theses and Dissertations

The rubber sheet analogy for Einstein’s General Relativity model of gravity is a popular way to visualize the effect mass has on the curvature of spacetime. My single group, quasi-experimental study with repeated measures was designed to assess the effectiveness of the rubber sheet analogy in teaching gravitational fields. I developed instructional materials, including a hands-on lab, to engage university students in thinking about gravity using the rubber sheet analogy. Previous research on students’ ideas about gravity informed the development of the pre/post-test. My work is an important first step in establishing a standard assessment on gravity.

Approximately ...


How Do They Know It Is A Parallelogram? Analysing Geometric Discourse At Van Hiele Level 3, Sasha Wang, Margaret Kinzel Jul 2014

How Do They Know It Is A Parallelogram? Analysing Geometric Discourse At Van Hiele Level 3, Sasha Wang, Margaret Kinzel

Mathematics Faculty Publications and Presentations

In this article, we introduce Sfard's discursive framework and use it to investigate prospective teachers' geometric discourse in the context of quadrilaterals. In particular, we focus on describing and analysing two participants' use of mathematical words and substantiation routines related to parallelograms and their properties at van Hiele level 3 thinking. Our findings suggest that a single van Hiele level of thinking encompasses a range of complexity of reasoning and differences in discourse and thus a deeper investigation of students' mathematical thinking within assigned van Hiele levels is warranted.