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Mathematics

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Content Specific Math Instruction To Improve English Language Learners' Comprehension Of Comparison Math Word Problems, Abigail Snyder Jul 2019

Content Specific Math Instruction To Improve English Language Learners' Comprehension Of Comparison Math Word Problems, Abigail Snyder

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, how can math instruction and comprehension of comparison word problems for ELL students be enhanced through content specific vocabulary on, many, more, and fewer, and combinations of these words? The research demonstrated a need for vocabulary knowledge for English Language Learners to comprehend mathematical word problems and acquire academic English. The project involved creating a ten day vocabulary unit addressing strategies for learning vocabulary found in the research. The Understanding by Design process was used in creating this project. This project utilizes the Math Expressions curriculum by Fuson (2009), utilized in the …


Comprehensible Input And Output In The Math Immersion Classroom: A Professional Development Series, Kimberly Kulhanek Jul 2019

Comprehensible Input And Output In The Math Immersion Classroom: A Professional Development Series, Kimberly Kulhanek

School of Education and Leadership Student Capstone Projects

The one-way immersion classroom provides a unique environment for students to learn content through instruction in their non-native language. However, students in early elementary grades typically have not had enough exposure to the target language to maintain sentence-level dialogue. The professional development series designed for this project uses the concepts of growth mindset, cognitively guided instruction, comprehensible input, and comprehensible output to increase students' ability to process and explain their mathematical thinking in the target language. Both growth mindset and cognitively guided instruction have been used in classrooms for years, but there has been little research into their implementation in …


How Discourse And Collaboration Can Be Used In Mathematics Classrooms To Promote Engagement And Learning, Emily Elsner Apr 2019

How Discourse And Collaboration Can Be Used In Mathematics Classrooms To Promote Engagement And Learning, Emily Elsner

School of Education and Leadership Student Capstone Projects

Educators are always looking for ways to promote engagement and achievement for their students. One thing secondary mathematics teachers can do to encourage engagement and achievement is to have students collaborate with each other on group-worthy tasks and engage in mathematical conversations and discourse. Chapter one of this Capstone gives background information as to why this work is important to the author and the author’s personal experiences with collaboration and discourse in mathematics. In chapter two, lots of research and literature is reviewed on the topics of mathematical mindsets, discourse, and collaboration. This chapter gives teachers ways to have students …


Implementing The Math Workshop Model: Techniques And Benefits, Nicole Middendorf Oct 2018

Implementing The Math Workshop Model: Techniques And Benefits, Nicole Middendorf

School of Education and Leadership Student Capstone Projects

The research question investigated in this Capstone Project was: what are the necessary components of professional development to support second grade teachers in implementing math workshop? Many instructional techniques that have been incorporated into math classrooms in the past have led to lower levels of understanding and decreased abilities for students to reach higher levels of thinking. When using The Math Workshop model, it provides a framework that allows educators to meet the individual needs of every student through multiple methods and activities. The information provided in the literature review outlines the goals and components of implementation steps for a …


Self-Regulation And Self-Advocacy Skills In A Fifth Grade Mathematics Classroom, Courtney Loynachan Oct 2018

Self-Regulation And Self-Advocacy Skills In A Fifth Grade Mathematics Classroom, Courtney Loynachan

School of Education and Leadership Student Capstone Projects

Social emotional learning has recently been at the forefront of many educational discussions because of its link with children’s academic success (Weissberg & Cascarino, 2013). Since mathematics is a cumulative subject, students who struggle to self-regulate and self-advocate at a young age will spend less time on task and be at risk to fall behind their peers academically. The research question addressed in this project was: how can social emotional learning strategies around self-regulation and self-advocacy be integrated into mathematics instruction at the fifth-grade level? An extensive literature review revealed that a strong student-teacher relationship and a plan to set …


Professional Development Sessions For Conceptual Understanding Of Mathematics In The Primary Classroom To Promote A Positive Mindset And Problem-Solving Skills, Brittany Erickson Oct 2018

Professional Development Sessions For Conceptual Understanding Of Mathematics In The Primary Classroom To Promote A Positive Mindset And Problem-Solving Skills, Brittany Erickson

School of Education and Leadership Student Capstone Projects

The research questions addressed in this project was, what are the best mathematical teaching practices for early elementary students to ensure they are prepared to transfer problem-solving skills to other areas of mathematics as well as other aspects of their lives? The author developed a series of two professional development sessions that focus on background knowledge and research in the area of mathematics, as well as effective teaching strategies that can be implemented into any primary mathematics classroom. It encompasses eight highly effective teaching practices influenced by the work of Huinker and Bill, to ensure students gain transferable conceptual math …


Developing Conceptual Place Value Intervention Curriculum For Upper Elementary Students, Angela Klint Jul 2018

Developing Conceptual Place Value Intervention Curriculum For Upper Elementary Students, Angela Klint

School of Education and Leadership Student Capstone Projects

Conceptual Place Value (CPV) is the ability to flexibly increment (add) and decrement (subtract) numbers mentally (Wright, Ellemor-Collins, & Tabor, 2012). Within this project I analyze how to improve math achievement for upper elementary students who struggle with CPV concepts. Using Piaget, Vygotsky, and Erikson developmental theories I examine the educational needs of the students within upper elementary school grades. In addition, I investigate how mathematical understanding start and grow throughout a child’s development. Using this research, I developed Conceptual Place Value intervention curriculum for upper elementary students. This project consists of 15 lessons for each of the eight different …


Steam Design Thinking And Innovation: A Collaborative, Interdisciplinary, Authentic Approach To Problem Solving In Mathematics, Liesa Klyn Jul 2018

Steam Design Thinking And Innovation: A Collaborative, Interdisciplinary, Authentic Approach To Problem Solving In Mathematics, Liesa Klyn

School of Education and Leadership Student Capstone Projects

How might we design an interdisciplinary curriculum which incorporates collaboration and design-thinking to equip all students to tackle authentic, complex problems of critical relevance? This capstone project is an attempt to answer this question with an innovative mathematics curriculum that incorporates science, technology, engineering, art and mathematics into problem solving experiences that foster critical thinking, collaboration across networks, leading by influence, agility and adaptability, initiative and entrepreneurship, oral and written communication, accessing and analyzing information, curiosity and imagination and resourcefulness. This curriculum seeks to make six major shifts in student learning;from product to process, from consumption to production, from adult …


How Technology Can Be Integrated Into The Seventh Grade Mathematics Classroom To Ensure A Positive Impact On Student Learning And Engagement, Melanie Strachota Jul 2018

How Technology Can Be Integrated Into The Seventh Grade Mathematics Classroom To Ensure A Positive Impact On Student Learning And Engagement, Melanie Strachota

School of Education and Leadership Student Capstone Projects

In recent years, there has been a movement for more technology in classrooms across the country. With this new movement, many teachers and students have been hesitant on where to begin and how to use technology in the classroom. This movement in education led for the author to explore the following research question: How can meaningful technology resources be integrated into the seventh grade mathematics classroom to ensure a positive impact on student learning and engagement? This Capstone records one teacher’s creation of a website designed to offer students and teachers an array of resources in one location for the …


How Can Student Learning Be Improved Through Project Based Curriculum That Gives Access To All Students?, Joseph Salzer Jul 2018

How Can Student Learning Be Improved Through Project Based Curriculum That Gives Access To All Students?, Joseph Salzer

School of Education and Leadership Student Capstone Projects

How can student learning be improved by creating project based curriculum that gives access to all students? This project contains a unit curriculum guide for a 3 dimensional solids unit for a 10th grade geometry classroom. The curriculum is a project based curriculum based on the 7 essential pieces of project based learning of Larmer (2010). This is then woven with standards based practices to ensure that all learners have access. The project is broken up and intermixed with direct skill instructional days and time for feedback. It is necessary to make sure students are supported in project based learning …


How Can Guided Math Techniques Be Integrated Into A Third Grade Multiplication Unit?, Erin Schmidt Jul 2018

How Can Guided Math Techniques Be Integrated Into A Third Grade Multiplication Unit?, Erin Schmidt

School of Education and Leadership Student Capstone Projects

The research question investigated in this Capstone Project was: How can guided math techniques be integrated into a third grade multiplication unit? Many instructional techniques that are incorporated and used in the classroom only allow the content to connect and reach a small portion of the students. When using instructional techniques like whole-group, many students are bored because the content is too easy or lost because the content is too challenging. This project explores utilizing the instructional technique of guided math. Guided math provides a framework that allows educators to meet the individual needs of every student through multiple methods …


How Can A 9th Grade Math And Science Curriculum Become Integrated As Part Of A Project-Based Academy?, Evan Pierson Apr 2018

How Can A 9th Grade Math And Science Curriculum Become Integrated As Part Of A Project-Based Academy?, Evan Pierson

School of Education and Leadership Student Capstone Projects

Research shows that project-based learning and integrated curriculums in many cases have a positive impact on student engagement, attitudes, and academic achievement. This project takes units from a general science and math curriculum at the ninth grade level and blends them to create an integrated unit relating to motion. The unit contains a wide array of math and science activities and labs that encourage students to think critically but also allows them to easily see the similarities between the two content areas. Teachers are encouraged to adapt the unit to meet their individual needs or attempt a similar endeavor with …


The Benefits And Challenges Of Integrating Self-Assessed Grading Into A 7th Grade Math Classroom, Michael Schramm Apr 2018

The Benefits And Challenges Of Integrating Self-Assessed Grading Into A 7th Grade Math Classroom, Michael Schramm

School of Education and Leadership Student Capstone Projects

This project documents one teacher’s exploration of self-assessment as a strategy for teaching and learning in middle school math, addressing the research question, “What are the benefits and challenges of integrating self-assessed grading into a 7th grade pre-algebra curriculum?” It explores research relevant to the idea of self-assessment in middle school, focusing on constructivism, self-regulated learning and self-efficacy. It also includes a review of research about the implementation of self-assessment strategies. The author concludes with a curriculum aimed at helping teachers implement self-assessment in their own classrooms. The centerpiece of the curriculum is an outline of a structure and materials …


High School Mathematics: A Venue For Political Resistance To White Supremacy, Morgan Kendall Fierst Oct 2017

High School Mathematics: A Venue For Political Resistance To White Supremacy, Morgan Kendall Fierst

School of Education and Leadership Student Capstone Projects

The teaching of mathematics in the United States is biased, unjust, and racist. It pretends to be a politically neutral subject despite its inherent white supremist structures and systems. Three main structural component of mathematics education support White Supremacy and need to be dismantled and restructured: inequitable access, the dehumanization of students, and the emphasis of the individual. Mathematics education can be a venue for political resistance to White Supremacy. This project outlines a yearlong advanced algebra curriculum that is rooted in student voice, community engagement, and social connection and includes: essential foundational work, curriculum design, a pacing guide, course-learning …


Designing Pedagogy For Existing Mathematics: Measurement Curriculum In A Language Immersion School, Jihee Jina Kim Oct 2017

Designing Pedagogy For Existing Mathematics: Measurement Curriculum In A Language Immersion School, Jihee Jina Kim

School of Education and Leadership Student Capstone Projects

This project addressed the research question of how instruction in the multilingual classroom learning environment can be beneficial in a language immersion school? How should the first-year teacher start to deliver effectively for students in multicultural circumstances? This document created curriculum for the subject of measurement taught by a first-year language immersion school teacher and included appropriate teaching pedagogy according to students’ individual circumstance in second grade mathematics. The author has keenly researched current, various perspectives from teachers, parents, and students as well as other facts regarding language immersion schools. Where there are students of different educational backgrounds, the teacher …


Instructional Strategies To Promote Engagement For Students Of Poverty In A Mathematics Classroom, Jessica Lind Oct 2017

Instructional Strategies To Promote Engagement For Students Of Poverty In A Mathematics Classroom, Jessica Lind

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, what instructional strategies can I employ with my high school students of poverty to better engage them in learning mathematics? It documents one teacher’s creation of a presentation designed for high school mathematics teachers who are looking for strategies to engage their students in the classroom. The presentation discusses the barriers of learning for students of poverty and gives several suggestions for teachers to help students overcome these barriers. The presentation also discusses six teaching strategies and gives a sample lesson plan of each strategy in a high school classroom setting. The …


How Can Students Benefit From Chinese Immersion Schools, Li Zheng Oct 2017

How Can Students Benefit From Chinese Immersion Schools, Li Zheng

School of Education and Leadership Student Capstone Projects

The research question in this article is to find out in what ways students can benefit from Chinese immersion schools. It documents in depth of three areas: Chinese language skills, students’ academic success, and classroom learning environments. The author integrates research data and interviews about Chinese immersion schools students and teachers. Findings suggest that Chinese immersion schools encourage students’ Chinese language skills, improve students’ academic success, and provide effective classroom learning environments.


How Can Inquiry-Based Learning Be Successfully Implemented In The Secondary Mathematics Classroom, Aaron Kadera Jul 2017

How Can Inquiry-Based Learning Be Successfully Implemented In The Secondary Mathematics Classroom, Aaron Kadera

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, how can inquiry-based learning by successfully integrated in the secondary mathematics classroom? It documents one teacher’s creation of a set of inquiry-based curriculum modules intended for use in AP Calculus AB and Precalculus courses. The curriculum created by the author aims to guide students to construct new knowledge through a process of settling doubt within a community of learners; a process known as an inquiry cycle. He analyzes both the intended use and flexibility the curriculum modules, discusses how to measure their effectiveness, and how to adopt different strategies in the case …


Differentiating Instruction To Develop Conceptual Understanding In Multiplication, Christopher A. Kamrath Jul 2017

Differentiating Instruction To Develop Conceptual Understanding In Multiplication, Christopher A. Kamrath

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was: How can curriculum be created to increase student conceptual understanding of multiplication? The author investigated how to develop an understanding in multiplication through research on conceptual understanding, the stages of learning multiplication and how to integrate a conceptual understanding into the classroom. The author considered the work of Boaler, Brickwedde, Carpenter and Wright to guide his research. The Understanding by Design model from Wiggins and McTighe was used to create the curriculum. The research resulted in a six week multiplication curriculum which consists of daily forty-five minute intervention period through four stations: …


How Can I Improve The Math Performance Of Intermediate Students Using Game-Based Learning, Leann M. Karl Jul 2017

How Can I Improve The Math Performance Of Intermediate Students Using Game-Based Learning, Leann M. Karl

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, how can I improve the math performance of intermediate students using game-based learning? It provides multiple sources of research on game-based learning and website design, along with the original creation of an authentic game-based learning website; gamebaseded.com. Throughout the project chapters, the author describes the limitations and benefits of the game-based learning website. The documented benefits include increased engagement, participation, and academic scores.