Education Commons^™

Engaging Students With High-Stakes Problems, Deepak Basyal

Mathematics and Statistics

Engaging students in meaningful mathematics problem-solving is the intention of many education stakeholders around the world. Research suggests that the implementation of high-stakes problems in mathematics teaching is one way to strengthen students’ conceptual understanding. Many carefully crafted open-ended problems constitute high-stakes problems, and proper use of such problems in teaching and learning not only encourages learners’ flexible thinking but also helps detect their misconceptions. However, what is less practiced and understood is: how exactly one should aim to implement such problems in a classroom setting. Teaching pre-service middle school teachers for a few years using high-stakes (mostly open-ended problems) …

Time To Escape! Using Escape Rooms In The Middle Grades Classroom, Rebecca Harper

South Carolina Association for Middle Level Education Journal

Motivation and student engagement are at the forefront of quality instructional design and implementation. While traditional teaching methods may have been effective in the past, today’s diverse student body, with their rich literacy experiences in both print and digital worlds, demand unique classroom engagements. Because problem solving and critical thinking skills are ones that are required for student success both in and out of school, instructional opportunities should be designed with this in mind. One way to address the diverse skills and needs of today’s students, along with the instruction of academic skills needed for success, is through the implementation …

Connecting Weirdness And Wonder To Mathematics, Elizabeth Basile, Deborah H. Mcmurtrie, Bridget K. Coleman

South Carolina Association for Middle Level Education Journal

Middle school students are weird and wonderful. Why not bring some of that weirdness and wonder into the mathematics classroom? Effective teachers of mathematics can create a culture of engagement, curiosity, and collaboration in mathematics instruction by presenting “weird” problems (as opposed to word problems) and giving students opportunities to explore their wonderings. Inspired by “the bizarreness effect,” the problems presented here are infused with humor and designed to intrigue young adolescents.

An Analysis Of The Complex Thinking Requirements Of The Terranova And Iowa Practice Tests In English/Language Arts For Grade 8: A Tale Of Two Tests, Armand Lamberti

Seton Hall University Dissertations and Theses (ETDs)

ABSTRACT

The importance of higher-order thinking, 21^st-Century Skills, and standardized testing are important issues in education. TerraNova and IOWA tests are widely used to assess students’ academic competence. The publishers of the TerraNova and IOWA tests claim that their assessment instruments challenge students to employ higher-order thinking skills. This study sought to examine and describe ways in which the language found in the TerraNova and IOWA English/Language Arts practice tests compared with the language that promotes higher-order thinking found in the literature. A convergent, parallel mixed-methods study with qualitative and quantitative content analysis methods was conducted to (a) …

Experiencing Active Mathematics Learning: Meeting The Expectations For Teaching And Learning In Mathematics Classrooms, Kristy Litster, Beth L. Macdonald, Jessica F. Shumway

Teacher Education and Leadership Faculty Publications

Active learning mathematics classrooms incorporate meaningful activities that emphasize reasoning, thinking and active interaction with mathematics. Current mathematics standards and curricula recommend that Mathematics Teacher Educators (MTEs) use elements of active learning in their mathematics content courses specifically designed for Prospective Teachers (PTs) as they prepare PTs to learn and teach mathematics. However, it can be very difficult for PTs to shift their pedagogical dispositions towards instruction associated with active learning because they typically have not experienced mathematics taught in this way. This article focuses on two instructional practices for MTEs to use with PTs. First, selecting tasks that promote …

Further Investigation: A Daily Inquiry Practice In The Elementary Classroom, Cyanna Gonzales

Masters of Education in Teaching and Learning

Researchers have shown that many students lack problem-solving skills. This deficit can be addressed through the implementation of inquiry-based learning. However, many teachers lack expertise in this area. The purpose of this study was to address both issues with a newly created inquiry practice called Further Investigation time, or FI time. The researcher studied what happened when this practice was implemented in a second-grade, self-contained classroom. In addition, student and teacher perceptions of the FI time were studied. Data was collected through the use of observational head notes, student surveys, and individual teacher and student interviews. Qualitative data was analyzed …

Counting On Collaboration: A Triangular Approach In The Educator Preparation Program For Teachers Of Mathematics, Jason Robinson, Patricia Mcclung, Caroline Maher-Boulis, Jennifer Cornett, Beth Fugate

Journal of Mathematics and Science: Collaborative Explorations

This paper outlines the process of establishing a stronger and more reciprocal partnership for collaboration between an education preparation program and a local education agency. The essential partners identified included the College of Natural Sciences and Mathematics and the College of Education at Lee University and stakeholders in the local school district. First, this paper will discuss a theoretical framework that speaks to the importance of dialogue and a dialogic approach to teaching mathematics. Secondly, the processes and methods of the project involving collaboration through partnerships are described. These partnerships gave rise to the realization that coursework would be more …

Assessment Of Children As Confident And Involved Learners In Early Childhood Education And Care: Literature Review, Dan Cloney, Jen Jackson, Pru Mitchell

Early Childhood Education

This literature review is one of a series of reviews to support Victorian early childhood professionals to assess children’s learning and development in relation to the five Learning and Development Outcomes in the Victorian Early Years Learning and Development Framework (VEYLDF). This literature review documents the research that underpins and defines learning for children from birth to eight years, and outlines children’s trajectory as confident and involved learners. The resource aims to equip early childhood professionals with the knowledge to identify and assess children’s progress towards the VEYLDF Outcome: 'Children are confident and involved learners'.

Exploring Higher Order Thinking Strategies In Georgia's Top Performing Middle Schools, Karen Kister

Ed.D. Dissertations

Developmental psychologists defined adolescent cognitive development as a period of time when individuals learn to mentally separate from adults and establish a self‑sufficient identity capable of the autonomous thought necessary to apply higher-order thinking. In contrast, college professors of the millennial generation stated that students demonstrate increased immaturity levels inconsistent with those of prior generations. Hence, the focus of this study was to examine the higher-order thinking strategies that teachers of adolescents have implemented within the five top performing middle schools in the state of Georgia. The findings offered a potential coexistence of higher-order thinking abilities and autonomous behavior and …

Search And Review Of The Literature On Engineering Design Challenges In Secondary School Settings, Matthew Lammi, Cameron Denson, Paul Asunda

Journal of Pre-College Engineering Education Research (J-PEER)

Engineering design activities offer the promise of enhanced learning and teaching in pre-college science, technology, engineering, and mathematics (STEM) settings. The wide variation and lack of coherence in research and practice concerning pre-college engineering design challenges necessitates an investigation of the literature. The overarching research question guiding this search and review of literature was, ‘‘How are engineering design challenges conceptualized in pre-college environments?’’ A search and review coupled with iterative thematic analysis was employed to understand and conceptualize the current body of literature on pre-college engineering design challenges. It is anticipated that this review will provide a general picture of …

Reading Strategies In Content Area Math, Jennifer Bachman O’Brien

Certificate of Advanced Studies (CAS) in Literacy

Since the introduction of the CCSS, expectations in math have placed greater responsibility for problem-solving on students. No longer is computation the primary focus of elementary math instruction; instead the goal has shifted to student understanding of the mathematical contexts. The aim of this action research study, guided by Vygotsky’s theory of social constructivism, was to determine the effectiveness of integrating reading and content area math, while deepening students’ skills in vocabulary, journaling, and visualizing. Nine fifth-grade students receiving Tier 2 math intervention were selected to participate in the study. Data collection consisted of pre and post measures including criterion-referenced …

Supporting Mathematics Coaches' Learning Of Probability Through Professional Development Tasks, Mary C. Enderson, Melva R. Grant, Yating Liu

Teaching & Learning Faculty Publications

This study was conducted to propose a framework of professional development tasks (PDTs) that may be used to enhance mathematics coaches’ content knowledge and understanding of student work, as well as to help them conceptualize their role in facilitating a professional learning community in school. In this qualitative design experiment, researchers developed and implemented a set of PDTs to use with elementary and middle school mathematics coaches. The PDTs, with a focus on K-8 probability topics, required coaches to conduct mathematics problem solving, student work analysis, and create a community to reflect individually and collaboratively on such experiences. Qualitative data …

Enhancing Instructional Leadership: Lessons From The Nsw Literacy And Numeracy Action Plan, Tim Wyatt

2009 - 2019 ACER Research Conferences

Over the past decade, schools, school systems and governments at all levels have invested heavily in enhancing the quality of school leadership. The Australian Government-funded National Partnerships (2012–2014) identified principal leadership as one of its explicit goals. More recently, the emphasis of leadership development has been on enhancing instructional leadership. This paper describes an approach to enhancing instructional leadership adopted as part of the NSW Literacy and Numeracy Action Plan (2012–2016), which was the particular approach of the NSW government school sector. The three school sectors in NSW each adopted different models for their implementation of the Action Plan relevant …

Digital Story-Based Problem Solving Applications: Preservice Primary Teachers’ Experiences And Future Integration Plans, Çiğdem Kilic, Hatice Sancar-Tokmak

Australian Journal of Teacher Education

This case study investigates how preservice primary school teachers describe their experiences with digital story-based problem solving applications and their plans for the future integration of this technology into their teaching. Totally 113 preservice primary school teachers participated in the study. Data collection tools included a questionnaire with three open-ended questions and focus group interviews. The data were analyzed using content analysis by combining manifest and latent techniques. Most of the preservice primary teachers described positive experiences about digital story-based problem solving applications by emphasizing on that they contribute to both their own and their students’ learning, development, and attitudes. …

The Effects Of Integrating Lego Robotics Into A Mathematics Curriculum To Promote The Development Of Proportional Reasoning, Shelli L. Casler-Failing

Legacy Theses & Dissertations (2009 - 2024)

This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six students. Qualitative data was collected from each of the students as they worked in groups of two to complete purposefully designed investigations, activities, from whole class discussions, and student artifacts. In addition, four students were purposefully chosen to participate as embedded case studies. The quantitative analysis showed development of proportional …

Using A Repeated Measures Anova Design To Analyze The Effect Writing In Mathematics Has On The Mathematics Achievement Of Third Grade English Language Learners And English Speakers, Zoe A. Morales

FIU Electronic Theses and Dissertations

The gap that exists between English language learners and English speaking students’ achievement in mathematics continues to grow. Moreover, students are now required to show evidence of their mathematics knowledge through writing in standardized assessments and class assignments.

The purpose of this study was to analyze students’ writing in mathematics and the metacognitive behaviors they portrayed through their writing as they solved mathematics problems. The instruments included a pretest, two biweekly tests, and a posttest. The writing instruction encompassed students learning to solve problems by using Polya’s four phases of problem solving which was completed in 12 sessions over a …

The Creative Child At Home, Ellen Loraine Herget

Theses and Dissertations

This was a study of how two children showed creativity in their own home environment. This study demonstrated four aspects of creativity, including problem solving, imagination, artistic expression, and play. Both children were very creative when making artwork in their own home. The more the children were engaged in the artwork, the more involved they were in the act of creativity. The girl demonstrated more problem solving skills, whereas the boy, due to his younger age, showed more imagination and play. While the children were working on their art projects, they showed imagination and problem solving through the association of …

Understanding The Problem Solving Approaches Of Special Educators Through The Lens Of Adaptive Expertise, Serra T. De Arment

Theses and Dissertations

The purpose of this research was to investigate special educators’ problem solving approaches through the lens of adaptive expertise. An explanatory sequential mixed methods design was used with participants of varying experience levels and teaching contexts from one Mid-Atlantic state. Participants responded to a researcher-developed survey about their orientations to problem solving (N = 162), then a purposive sample completed semi-structured interviews (N = 8). Following survey measure refinement and validation, quantitative data were analyzed through descriptive statistics, z-scores, correlation, and chi-square test of independence. Subsequently, qualitative data were analyzed through iterative cycles of hypothesis and open coding. …

Fostoria Intermediate Elementary School Family Math Night, Chelsea Nye

Honors Projects

This is a Family Math Night that was planned and held at Fostoria Intermediate Elementary School in Fostoria, Ohio. It includes the Research Questions, Literature Review, Proposed Activity, Methodology, and Expected Results as well as the Annotated Bibliography and Timeline for Completion from my research and planning. Following the Proposal are 20 mathematical activity or game lesson plans and direction sheets that were planned for the Family Math Night. There are 5 different mathematical activities or games for each grade level 3-6, each meeting a different domain in the Common Core State Standards. At the end there is two general …

An Investigation Of Factors Affecting Student Performance In Algebraic Word Problem Solutions, Jerry Eugene Wright

Education Dissertations and Projects

This dissertation was designed to investigate the potential significance of several student algebraic word problem solving skills. The solution of an algebra word problem (AWP) requires the creation and solution of an equation based on the problem context. Common Core State Standards in both English Language Arts and Mathematics emphasize student learning and proficiency in algebra word problem contexts. Eight factors of student mathematical ability were proposed, and three of those eight factors were studied in depth to determine their significance. Similar research supported the theory that the translation phase of the solution process presented the student with the most …

Solving Problems Paradoxically And Creatively, Salma A. Hadeed

salma a hadeed

No abstract provided.

A Primer For Mathematical Modeling, Marla A. Sole

Publications and Research

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school with the mathematics they will use outside of school. Instructors have found mathematical modeling difficult to teach. To successfully incorporate modeling activities I believe that curricular changes should be accompanied by professional development for curriculum developers, classroom teachers, and higher education professionals. This article serves as an introduction to modeling by …

Preparing Middle Grades Teachers To Use Drawn Models For Developing Arithmetic With Rational Numbers, Andrew Izsak, Erik Jacobson

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

We will report on-going efforts to design a research-based content and methods course for future middle grades teachers focused on numbers and operations. A main theme of the course is to solve problems using drawn models and to develop general numeric methods. Attendees will work on activities used in the course that elicit difficulties future teachers experience with this content.

Inferring Impulsive-Analytic Disposition From Students’ Actions In Solving Math Problems, Kien Lim, Miguel Mendoza

Kien H Lim

The research reported in this paper is part of a larger study designed to investigate the validity of the Likelihood-to-Act (LtA) survey—an Likert-scale instrument, currently under development and testing, for assessing students’ impulsive-analytic disposition in mathematics. Transcripts and videos of 15 interviewees’ responses to five problems, adapted from the LtA Survey, were analyzed in terms of (a) solution strategies and (b) impulsive-analytic disposition. Two scores were derived from quantifying the codes that were assigned to the 75 problem-solving episodes. These scores were highly correlated to one another and were correlated to the LtA_Difference (impulsive minus analytic) score, obtained from the …

Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera

Kien H Lim

Impulsive disposition is an undesirable way of thinking where one spontaneously applies the first idea that comes to mind without checking its relevance. In this research, we explore (a) the possibility of helping pre-service teachers improve their disposition, from being impulsive to being analytic, in one semester, and (b) the effect of using non-proportional situations. This study involves two sections of a mathematics course for pre-service teachers for Grades 4-8. The lessons were designed whenever possible to elicit students’ impulsive disposition so that they could become cognizant of it and make conscious attempts to overcome it. Some test items were …

Mathematical Modeling Within A Technology Based Learning Environment: Some Principles For Adaptive Instruction, Neal Grandgenett, Elliott Ostler, Arthur I. Zygielbaum, Scott Henninger, Char Hazzard

Teacher Education Faculty Proceedings & Presentations

This paper describes a set of research based instructional plans being developed by a multidisciplinary team of researchers at the University of Nebraska within a National Science Foundation Proof-of-Concept Grant. The project is seeking to establish a prototype effort for teaching mathematical modeling within a technology based learning environment, which includes components of adaptive instruction for the student. Seven curriculum based design principles for the adaptive instruction that are being followed in the development of the project are described in the paper as they relate to research on effective mathematics instruction, and in particular the enhancement of mathematical modeling activities.

The Reading Process And Alphablanks, Dale Saul, Linda Driver

MA TESOL Collection

Alphablanks was developed as an aid for teaching reading by Rosalie R. Saul. It has been used chiefly in teaching children to read in their native language, especially in the field of learning disabilities. We wanted to expand its use into the ESL classroom. But we also wanted to present a rationale for using Alphablanks, to research the field of reading and how we go about learning to read, in order to find out exactly what areas of reading Alphablanks would help. Thus this paper is divided into two main parts: a summary of current research into reading, interpreting this …