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Mathematics

2019

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Full-Text Articles in Education

Problem-Solving Ability Of Primary School Teachers Based On Polya's Method In Mataram City, Mohammad Archi Maulyda, Vivi Rachmatul Hidayati, Awal Nur Khalifatur Rosyidah, Iva Nurmawanti Dec 2019

Problem-Solving Ability Of Primary School Teachers Based On Polya's Method In Mataram City, Mohammad Archi Maulyda, Vivi Rachmatul Hidayati, Awal Nur Khalifatur Rosyidah, Iva Nurmawanti

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Problem-solving is an important competency that must be owned by students. Problem-solving skills can facilitate students in understanding, connecting, and using mathematical concepts. Even so, mistakes in solving mathematical problems are still made by students. One reason is the lack of habituation of problem-solving in learning mathematics. Teachers who have good problem-solving skills will find it easier to teach and do an activity about problem-solving in learning mathematics. The purpose of this study is to describe the problem-solving ability of primary school teachers based on Polya's method. This research method is descriptive-qualitative. The research subjects were primary mathematics teachers who …


Current State Of Preparation Of Future Teachers Of Mathematics In Higher Education Institutions, Barno Sayfuddinovna Abdullayeva, Ganisher Abdurashidovich Nafasov Dec 2019

Current State Of Preparation Of Future Teachers Of Mathematics In Higher Education Institutions, Barno Sayfuddinovna Abdullayeva, Ganisher Abdurashidovich Nafasov

Bulletin of Gulistan State University

An innovative society puts forward new requirements for the training of future mathematics teachers. In modern conditions, there is a need for teachers who are able to carry out independent professional education and personal growth, to develop a future educational route and a position that must be achieved professionally. This competitive math teacher is an indicator of higher professional education. given in the form of one of the tasks of the federal state educational standard and is a sign of the development of cognitive competence in a mathematics teacher. The development of cognitive competence among teachers of mathematics is carried …


Effective Instructional Strategies In Sixth Grade Inclusion Mathematics Classrooms: The Effect Of Active And Passive Engagement On Concept Learning And Opportunity To Learn, Christy Mikolaj Dec 2019

Effective Instructional Strategies In Sixth Grade Inclusion Mathematics Classrooms: The Effect Of Active And Passive Engagement On Concept Learning And Opportunity To Learn, Christy Mikolaj

Electronic Theses and Dissertations

The purpose of this mixed-method study focused on the effect of active engagement on opportunity to learn and concept learning among sixth grade special education students participating in the inclusion mathematical setting. By implementing two instructional strategies and using the theoretical frameworks of Vygotsky’s Social Constructivism and Erikson’s Stage of Psychosocial Development of Industry vs. Inferiority, findings showed there was a significant negative relationship between active engagement time during instruction and concept learning. The study showed students with identified needs within an inclusion mathematics setting increased concept learning in both instructional classrooms. Therefore, there was no difference in concept learning …


Supporting Middle School Students In Tier 2 Math Labs: Instructional Strategies, Emily C. Bouck, Jiyoon Park, Mary Bouck, Jim Alspaugh, Stacey Spitzley, Angela Buckland Dec 2019

Supporting Middle School Students In Tier 2 Math Labs: Instructional Strategies, Emily C. Bouck, Jiyoon Park, Mary Bouck, Jim Alspaugh, Stacey Spitzley, Angela Buckland

Current Issues in Middle Level Education

Response to Intervention (RtI) has become a common support system for students; yet, no universal RtI model exists, especially for mathematics and specifically at the middle school level. This article focuses on a specific model for delivering Tier 2 mathematics supports and services at the middle school level: math labs. Evidence–based and research–supported interventions are discussed that support the delivery of Tier 2 services within a middle school math lab RtI structure. A fictionalized vignette, drawing from multiple actual cases, is presented to highlight the use of a Tier 2 math lab within a middle school setting.


Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman Dec 2019

Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman

Q2S Enhancing Pedagogy

This brief report provides a reflection on the use of the "Reacting to the Past" (RTTP) pedagogy in a History of Mathematics classroom. The conclusion is drawn that the RTTP pedagogy is very successful in engaging students in active learning, and appropriate games may be utilized to help students learn about the role of mathematics in historical developments as well as in society today.


Infographic: Pisa 2018 – Australian Trends And Comparison, Jo Earp Dec 2019

Infographic: Pisa 2018 – Australian Trends And Comparison, Jo Earp

Teacher infographics

Results from the OECD's 2018 Programme for International Student Assessment (PISA) have been released. The data show Australian student performance is in long-term decline. This infographic looks at Australia’s PISA performance over time, and how the 2018 results compare internationally.


Infographic: Pisa 2018 – Australian Results By State And Territory, Jo Earp Dec 2019

Infographic: Pisa 2018 – Australian Results By State And Territory, Jo Earp

Teacher infographics

The OECD's Programme for International Student Assessment (PISA) measures how well 15-year-olds are prepared to use their skills and knowledge to meet real-life challenges. The 2018 data show Australian student performance in all three assessment domains is in long-term decline. This infographic looks at the low and high performers by jurisdiction.


Variance And Reliability In Special Educator Observation Rubrics, Angela R. Crawford, Evelyn S. Johnson, Laura A. Moylan, Yuzhu Zheng Dec 2019

Variance And Reliability In Special Educator Observation Rubrics, Angela R. Crawford, Evelyn S. Johnson, Laura A. Moylan, Yuzhu Zheng

Early and Special Education Faculty Publications and Presentations

This study describes the development and initial psychometric evaluation of the Recognizing Effective Special Education Teachers (RESET) observation instrument. The study uses generalizability theory to compare two versions of a rubric, one with general descriptors of performance levels and one with item-specific descriptors of performance levels, for evaluating special education teacher implementation of explicit instruction. Eight raters (four for each version of the rubric) viewed and scored videos of explicit instruction in intervention settings. The data from each rubric were analyzed with a four facet, crossed, mixed-model design to estimate the variance components and reliability indices. Results show lower unwanted …


The Relationship Between Small-Group Discourse And Student-Enacted Levels Of Cognitive Demand When Engaging With Mathematics Tasks At Different Depth Of Knowledge Levels, Kristy Litster Dec 2019

The Relationship Between Small-Group Discourse And Student-Enacted Levels Of Cognitive Demand When Engaging With Mathematics Tasks At Different Depth Of Knowledge Levels, Kristy Litster

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

High cognitive demand (HCD) tasks can help students develop a deeper understanding of mathematics. Teachers need interventions that encourage students to engage in HCD activities. Small-group discourse provides HCD opportunities for students while solving mathematics problems. Discourse can take place after students solve problems individually (reflective) or in groups as students solve problems (exploratory). This study looks at the relationship between these two types of small-group discourse and student-enacted cognitive demand.

This study looks at how students engage with tasks that were designed at four different cognitive demand levels using Webb’s depth of knowledge (DOK) framework. Ninety-seven grade 5 students …


An Evaluation Of A Sixth Grade Intensive Mathematics Program And Impacts On Student Achievement, Tammy Dery Dec 2019

An Evaluation Of A Sixth Grade Intensive Mathematics Program And Impacts On Student Achievement, Tammy Dery

Dissertations

The purpose of thisevaluation is to analyze anIntensive Math program’s quality and design, as well as, address the impact of the program to determine whether the intensive mathematics class, and the use of computer-based support,impacts student achievement. The program design incorporates a two-prong model of teacher-directed and computer-based intervention. The relationship of the intensive mathematics curriculum implemented with struggling learners and closing the mathematics achievement gap are evaluated through the analyses of student data, the quality of implementation and program usability and teacher and teacher leader perspectives. The findings indicate that small groups and individualized attention for students is vital …


Observations Of A Multi-Component Intervention For Elementary Students With Emotional Behavioral Disorder After Self-Efficacy Coaching, Anna Kristen Bensinger Dec 2019

Observations Of A Multi-Component Intervention For Elementary Students With Emotional Behavioral Disorder After Self-Efficacy Coaching, Anna Kristen Bensinger

Graduate Theses and Dissertations

Students with Emotional and Behavioral Disorders (EBD) experience more negative student outcomes compared to other special education disability categories, specifically, higher dropout rates, less access to higher education and incarceration. Mathematically, 73% of students with EBD achieve below the 50th percentile on standardized tests (Wagner, Kutash, Duchnowski, Epstein, & Sumi, 2005). This study focused on the exploration of a multi-component mathematics and behavior intervention targeting student self-efficacy for productive learning behaviors in the general education mathematics classroom setting for elementary students with EBD. Participants for this study were students from two 4th grade classrooms, who have been identified with co-occurring …


The Relationship Between Mathematics Teachers’ Perceptions Of Student Motivation And Their Use Of Instructional Strategies For At-Risk Math Students, Kayla Morris Couch Dec 2019

The Relationship Between Mathematics Teachers’ Perceptions Of Student Motivation And Their Use Of Instructional Strategies For At-Risk Math Students, Kayla Morris Couch

Theses and Dissertations

Student motivation in mathematics education can be affected by many variables, especially for at-risk students. Existing information is limited regarding teacher perceptions of their own pedagogy, instructional strategies, and at-risk student motivation in the area of mathematics for middle school and high school students. The purpose of this study was to analyze middle school and high school mathematics teachers’ perceptions of their own pedagogy, instructional strategies, and at-risk students’ motivation in mathematics. Deci and Ryan’s self-determination theory was the theoretical framework used to guide the current study, which focuses on psychological and instinctive needs of individuals. An explanatory, sequential mixed …


Educators’ Perceptions Concerning The Leading Factors Of Mathematics Achievement In Top-Ranking Nations Around The World, Kendra Snow Nov 2019

Educators’ Perceptions Concerning The Leading Factors Of Mathematics Achievement In Top-Ranking Nations Around The World, Kendra Snow

Dissertations

The purpose of this study was to examine the perceptions of post-secondary mathematics educators from countries considered to be highly successful in the area of mathematics based upon results of international assessments. Four instructors were randomly selected from a homogenous sample within the nations of Canada, China, Japan, and Singapore to contribute information about the phenomenon of mathematical achievement. Frameworks from SRI International (2009), Matthews (2013), and Schoenfeld (2014) were integrated to design this study focused on curriculum, pedagogy and instructional approach, teacher knowledge and expectations, and organizational and social climate as possible factors that support student mathematical proficiency. Interviews …


Broadening The Stem Identity, Sarah Moss Nov 2019

Broadening The Stem Identity, Sarah Moss

The Voice

No abstract provided.


Getting Stuck On Math 291, Sarah Moss Nov 2019

Getting Stuck On Math 291, Sarah Moss

The Voice

No abstract provided.


The Role Of Number Writing In Early Math Readiness, Giselle Hernandez Nov 2019

The Role Of Number Writing In Early Math Readiness, Giselle Hernandez

FIU Electronic Theses and Dissertations

The purpose of this study was to understand how number writing in a class of low-income, pre-kindergarten children (N = 15) developed over the course of a school year, and to see what role that development played in their overall math readiness. This study used a mixed-methods approach. The target class was explicitly taught number writing as part of an early math intervention. Scores on a number writing inventory, and two math readiness assessments (Number Knowledge assessment, State of Florida VPK Assessment) were compared at the end of the year, both within the intervention group, and with a matched …


Why Is This First? Understanding And Analyzing Internet Search Results, Chris D. Ham Nov 2019

Why Is This First? Understanding And Analyzing Internet Search Results, Chris D. Ham

Journal of Educational Research and Practice

Primarily due to their convenience, online search engines such as Google and Bing are becoming a central location for obtaining information. As a result, societies give search engines tremendous control over the spread of information to the public. Through a high-school-level sample lesson plan, the article was written to promote dialogue with teachers on the importance of teaching the intricacies of search engines. The sample lesson plan begins with fundamental knowledge on the functionality of search engines with emphasis on algorithms. With this instruction, students can understand not only search engines, but also their manipulation potential, which leads to ramifications. …


Effects Of Cross-Age Tutors With Ebd For Kindergarteners At Risk Of Mathematics Difficulties, Gavin W. Watts, Diane Pedrotty Bryant, Garrett J. Roberts Nov 2019

Effects Of Cross-Age Tutors With Ebd For Kindergarteners At Risk Of Mathematics Difficulties, Gavin W. Watts, Diane Pedrotty Bryant, Garrett J. Roberts

Special Education Faculty Publications

Challenges with numerical proficiency at an early age can lead to substantial gaps in learning and are associated with detrimental long-term outcomes. In addition, students with emotional–behavioral disorders (EBD) can have some of the most challenging behavioral and academic needs to address. The purpose of this study was to identify the effects and collateral outcomes of utilizing cross-age tutors (i.e., older students) with/at risk of EBD to deliver a number line board game intervention to kindergarten students at risk of mathematics disabilities. A multiple baseline design across participants was utilized to evaluate the following research questions: (a) What are the …


Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks Nov 2019

Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks

Doctoral Dissertations and Projects

The purpose of this transcendental phenomenological study was to describe the essence of student perception of learning introductory mathematics courses in an online environment at the college level. The central research question was, “What are the lived experiences of students who have completed introductory college mathematics courses in the online learning environment?” The phenomenon described was that of the beliefs and attitudes of the students who participated in introductory mathematics courses on the college level. The ideas explored were if students believe they learn effectively in this environment and how they believe they can best learn. Student beliefs and attitudes …


The Effect Of A Blended Learning Instructional Model On The Mathematics Performance Of Sixth And Seventh Grade Students In A Small Northeastern Urban School District, Debra Joseph-Charles Oct 2019

The Effect Of A Blended Learning Instructional Model On The Mathematics Performance Of Sixth And Seventh Grade Students In A Small Northeastern Urban School District, Debra Joseph-Charles

Seton Hall University Dissertations and Theses (ETDs)

Closing the achievement gap has been the focus of education reform for decades. Federal educational reform policies No Child Left Behind (2002) and Race to The Top (2009) renewed attention on the achievement gap and the quest to find ways to improve student outcomes. The latter addressed the needs of 21st century learners, and as such, the need to look towards new, innovative ways of addressing students' individual needs. In 2010, in its National Educational Technology Plan, Transforming American Education: Learning Powered by Technology, the USDOE stressed that there needed to be a shift in how students were educated, …


Victoria Dragonjac's Portfolio, Victoria Dragonjac Oct 2019

Victoria Dragonjac's Portfolio, Victoria Dragonjac

Honors College Portfolios

This portfolio is a collection of my work throughout my past 4 years in Duquesne University’s School of Education. As a Middle-Level Education major, the following pieces are focused on student inquiry in the main 4 subjects of my certification area: Mathematics, English, Social Studies, and Science in addition to Inclusive Education. It is in my opinion that there has been a major shift in how students are taught in comparison to today from even just 10 years ago. In the past, teachers often resorted to teaching the material to the students without allowing them the opportunity to explore and …


How Different Grouping Methods Can Improve Students’ Mathematical Achievement In An Appropriate Setting, Hyangmee Oh Oct 2019

How Different Grouping Methods Can Improve Students’ Mathematical Achievement In An Appropriate Setting, Hyangmee Oh

School of Education and Leadership Student Capstone Theses and Dissertations

This research is about finding an appropriate grouping method in a classroom to improve students’ mathematical achievement in a small urban public charter school. It is looking for an answer to the question: Can an inquiry-based discourse taught using an ability-grouping method affect 8th grade students’ mathematical achievement as evidenced quantitatively through numerical self- surveys and scored standardized testing?

Each year, a school will have a different demographic with each student’s own unique math abilities. Thus, we need a solution to best and flexibly group students to adapt to each student’s math abilities based on the unique classroom environment. The …


Let’S Talk: An Examination Of Parental Involvement As A Predictor Of Stem Achievement In Math For High School Girls, Nicol R. Howard, Keith E. Howard, Randy T. Busse, Christine Hunt Sep 2019

Let’S Talk: An Examination Of Parental Involvement As A Predictor Of Stem Achievement In Math For High School Girls, Nicol R. Howard, Keith E. Howard, Randy T. Busse, Christine Hunt

Education Faculty Articles and Research

This research was conducted to examine the influence of parental involvement, in the form of parent conversations, on mathematics achievement for high school girls. Data from the High School Longitudinal Study of 2009 (HSLS:09) public-use file provided a sample of 13,694 students, including 6,592 girls for our analyses. A scale for measuring parent conversations was developed and regression analyses were conducted to examine whether this scale variable predicted mathematics achievement. Results indicated that conversational parental involvement was a significant predictor of mathematics achievement for Black and White girls, but not Hispanic and Asian. Implications for research and policy initiatives 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, …


Infographic: Student Attitudes Towards Stem, Dominique Russell Aug 2019

Infographic: Student Attitudes Towards Stem, Dominique Russell

Teacher infographics

The Australian Department of Industry, Innovation and Science commissioned a study to examine the attitudes of Australian students towards STEM (Science, Technology, Engineering, Mathematics). In this infographic, we take a look at some of the findings.


Stem Opportunities - High School 2019, Huey-Xian Kelly Wong, Madeleine Rauhauser, Annie Morgan Nelson Aug 2019

Stem Opportunities - High School 2019, Huey-Xian Kelly Wong, Madeleine Rauhauser, Annie Morgan Nelson

Honors Expanded Learning Clubs

This publication details the lesson plan for the “Opportunities in STEM” club for the summer of 2019. This club began out of a desire to educate high school students about the opportunities and careers available in the science, technology, engineering, and mathematics fields. Often, students feel that the prospect of entering a STEM field is daunting and out of their grasp. What it means to be a scientist is often unclear, and students never consider opportunities out of the fear of the unknown, particularly when science is associated with complexity and difficulty. This lesson plan integrates experiments with a wealth …


Process Over Product: It's More Than An Equation, Lorraine Day, Derek Hurrell Aug 2019

Process Over Product: It's More Than An Equation, Lorraine Day, Derek Hurrell

Derek Hurrell

Developing number and algebra together provide opportunities for searching for patterns, conjecturing, justifying, and generalising mathematical relationships. It allows the focus to be on the process of mathematics and noticing the structure of arithmetic, rather than the product of arriving at a correct answer. Two of the big ideas in mathematics are multiplicative thinking and algebraic reasoning. By noticing the structure of multiplicative situations, students will be in a position to reason algebraically, and the process of reasoning algebraically will allow students to appreciate the value of thinking multiplicatively rather than additively.


I'M Proud To Be A Toy Teacher: Using Cra To Become An Even More Effective Teacher, Derek Hurrell Aug 2019

I'M Proud To Be A Toy Teacher: Using Cra To Become An Even More Effective Teacher, Derek Hurrell

Derek Hurrell

The role of manipulative materials in mathematics can be a contentious one. It seems that in the mind of some teachers, manipulatives are fine in the early years but have no place in a rigorous maths classroom as the students get older. It is a topic worth our consideration.


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

Early and Special Education 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 and …


The Effects Of Daily Math Talks On Number Sense Development In A Kindergarten Clasroom, Hallie Keenan Aug 2019

The Effects Of Daily Math Talks On Number Sense Development In A Kindergarten Clasroom, Hallie Keenan

Masters of Arts in Education Action Research Papers

The purpose of this research was to determine the impact that daily Math Talks have of the number sense development of Kindergartners. The study consisted of 22 Kindergarten students in a midwestern school. The data was collected over the course of four months using pre- and post-intervention self-assessments, observational teacher notes, NWEA standardized test scores, and Seesaw video recordings. Results show a positive correlation between daily Math Talks and increased number sense skills. The data shows positive effects on foundational number sense skills and mathematical ability and can be actively integrated into classrooms to help support student achievement and growth. …