Education Commons^™

Knowledge Of Future Primary Teachers For Teaching Mathematics : An International Comparative Study, S Senk, M Tatto, M Reckase, Glenn Rowley, Ray Peck, K Bankov

Ray Peck

This article reports the results of the Teacher Education and Development Study in Mathematics (TEDS-M) that are related to prospective primary teachers’ knowledge for teaching mathematics. TEDS-M was conducted under the auspices of the International Association for the Evaluation of Educational Achievement with additional support from the US. National Science Foundation and the participating countries. In 2008 more than 15,000 future primary teachers, enrolled in about 450 institutions that prepare future primary teachers, were surveyed. Two domains of knowledge for teaching mathematics were assessed using items that had been developed and validated in a cross-national field trial. Large differences in …

Policy, Practice, And Readiness To Teach Primary And Secondary Mathematics In 17 Countries: Findings From The Iea Teacher Education And Development Study In Mathematics (Teds-M), Teresa Tatto, Jack Schwille, Sharon Senk, Lawrence Ingvarson, Ray Peck, Glenn Rowley

Ray Peck

The IEA Teacher Education and Development Study in Mathematics (TEDS-M 2008) was a comparative study of primary and secondary mathematics teacher education. It examined how different countries prepared teachers to teach mathematics in primary and lower-secondary schools.

TEDS-M paid particular attention to links between teacher education policies, practices, and outcomes. TEDS-M asked several key research questions:

• What is the national policy context for mathematics teacher education?

• What are the main characteristics of mathematics teacher education programs, and how do they vary across countries?

• What is the level of mathematics and related teaching knowledge acquired by prospective primary …

The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William H. Robertson

William H. Robertson

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

Chris Freeman

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

Collaborating To Improve Inquiry-Based Teaching In Elementary Science And Mathematics Methods Courses, Paula A. Magee, Ryan Flessner

Scholarship and Professional Work – Education

This study examines the effect of promoting inquiry-based teaching (IBT) through collaboration between a science methods course and mathematics methods course in an elementary teacher education program. During the collaboration, preservice elementary teacher (PST) candidates experienced 3 different types of inquiry as a way to foster increased understanding of inquiry based teaching (IBT). The experiences included a PST driven science inquiry and a mathematics inquiry where PSTs were learners and a science inquiry where PSTs were teachers. During and following the semester of the collaboration, data were collected to assess the impact of the inquiry experiences on the PSTs’ understanding …

A Professional Experience Learning Community For Pre-Service Secondary Mathematics Teachers, Michael S. Cavanagh, Thomas Garvey

Australian Journal of Teacher Education

This paper reports the development and implementation of a collaborative professional experience learning community for a group of nine pre-service secondary mathematics teachers. The pre-service teachers and their methods lecturer made 12 school visits over one academic year to a local secondary school. The pre-service teachers observed and co-taught problem-solving lessons in two Year 8 classes. They discussed the lessons with the teacher and the university lecturer, and later posted reflective comments to an online forum. Data from questionnaires, interviews, and reflections indicate that participation in the learning community helped pre-service teachers make stronger links between theory and practice, learn …

Algebra Ii: Gatekeeper Course An Examination Of Cst Proficiency Levels In California And The Bay Area, Laurie Allyn Hailer-O'Keefe

Dissertations, Masters Theses, Capstones, and Culminating Projects

This paper examines the Algebra II course and California Star Test (CST) proficiency levels in the San Francisco Bay Area and in the State of California. CST proficiency levels are examined by grade level for the State and nine counties of the San Francisco Bay Area region. Algebra II is shown to be one of the more complicated courses in the CSU and UC A-G eligibility courses for students in high school. This paper attempts to highlight the achievement gap of gender and socio-economic and race/ethnicity gaps in completion of the course. This paper examines completion rates by grade and …

Southern Educator, Georgia Southern University

Southern Educator (2003-2023)

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Problem Solving Abilities And Perceptions In Alternative Certification Mathematics Teachers, Brian R. Evans

NERA Conference Proceedings 2012

The purpose of this study was to understand alternative certification middle and high school teachers’ mathematical problem solving abilities and perceptions. Participants were given a problem solving examination and required to reflect upon their students’ and their own problem solving. Findings revealed there was a significant improvement in problem solving abilities for the teachers over the course of the semester, and there was a direct correlation between content knowledge and problem solving ability. Teachers perceived their students’ problem solving abilities as generally weak due to not understanding how to start a problem, lack of persistence, and poor literacy skills.

Blewett, Benjamin Turner, 1820-1911 (Sc 747), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "Additional Files" below) for Manuscripts Small Collection 747. Letter, 18 April 1857, from Benjamin Turner Blewett, president of Bethel College, Russellville, Kentucky, to mathematics professor D. W. Hoyt, Brighton, Massachusetts, recruiting him for that position and describing the school and the town. Includes an illustrated school brochure.

Instructor Use Of Tablet Pcs In A College Pre-Calculus Course: Implementation & Assessment, Julianna Connelly Stockton, Peter Gregory

Mathematics Faculty Publications

A group of six math instructors used tablet PCs to teach their individual sections of a high enrollment gateway Pre-Calculus course in a diverse urban four-year college. Student performance in the experimental sections were compared to those in 31 other sections in terms of student retention, pass rates, and score on the department-wide standardized final exam. Student performance was higher in Tablet PC sections across all three measures, although in some cases the improvement was not substantial enough to improve students’ overall course grades. Surveys of students and faculty in classes using a Tablet PC reflected overall positive impressions of …

Number Sense Mediated By Mathematics Self-Concept In Impacting Middle School Mathematics Achievement, Lara K. Geronime

Dissertations (1934 -)

The purpose of the current study was to extend the research on number sense to the middle school level and to simultaneously consider socioemotional elements related to the construct at this developmental stage. Its genesis was initially rooted in an ongoing and dramatic emphasis by U.S. policymakers, researchers, and educators on improving mathematics achievement in order to compete globally in technology and innovation. Despite debates about optimal curriculum and instruction, tremendous support exists for the construct of number sense. However, middle school research examining the phenomena has been limited to intervention protocols targeting specific skillsets and better measurement of its …

A Theory Of School Achievement: A Quantum View, James L. Phelps

Educational Considerations

What is reality? In order to make predictions, all concepts in a scientific study and subsequent theory must be accurately represented by mathematical principles, and those concepts and principles must embody reality.

An Exploratory Analysis Of The Talis And Pisa Link Data: An Investigation Of The Possible Relationships, Frances Eveleigh, Chris Freeman

Chris Freeman

This paper proposes to report a preliminary investigation of the field trial data of PISA combined with the TALIS data from the same pool of schools. It proposes exploratory analyses of the data through correlation, ANOVA and MANOVA, and multi-level modelling techniques to identify plausible relationships and explained variation that may be uncovered within the data. This investigation will inform the types of analyses that may be performed on the main study data that are being collected in mid to late 2012.

Challenges For Australian Education, Sue Thomson

Dr Sue Thomson

Sue Thompson asks if Australia’s above average but declining performance in an international study of reading, mathematics and scientific literacy should be cause for concern.

Some Drivers Of Test Item Difficulty In Mathematics, Ross Turner

Ross Turner

This paper is one of four contributions to the symposium session at the AERA’s 2012 Annual Meeting titled Exploring Reading and Mathematics Item Difficulty: Teaching and Learning Implications of PISA Survey Data. The author presents a rubric used to analyse mathematics test items developed for use in the OECD’s PISA survey. The rubric focuses on a set of mathematical competencies that are components of mathematical literacy. The work on which this report is based suggests that demand for activation of these competencies functions as a significant driver of item difficulty, which potentially has implications for the teaching and learning of …

Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson

Journal of Humanistic Mathematics

Now is a good time to work on the boundaries of practice and theory, of art and science. We are seeing a rising tide of interest in these boundaries. Witness the growing Bridges movement, which has been exploring the connections between mathematics and the arts. Similarly, JoAnne Growney's blog, Intersections -- Poetry with Mathematics, explores the connections between mathematics and poetry. Through this review, I aim to give readers a taste of what can be found in Intersections as a way of encouraging others, be they mathematicians, poets, or neither, to visit the blog.

How Design Can Get Kids On The Path To Tech Careers: A Conversation With Dr. Stephanie Pace Marshall, The Founder Of A New Type Of Science And Math Academy, Stephanie Marshall

Stephanie Pace Marshall, Ph.D.

An interview with Dr. Stephanie Pace Marshall about educational design and the design of the Illinois Mathematics and Science Academy. "IMSA sought not only to develop decidedly different scientific minds, but also to develop a decidedly different residential learning community -- one that was nurturing and innovative, and one that instilled a sense of stewardship, and an obligation to give back. As a dynamic teaching and learning laboratory, IMSA continues to evolve, yet the roots of our founding ideas and goals remain."

Stem Talent: Moving Beyond Traditional Boundaries, Stephanie Pace Marshall

Stephanie Pace Marshall, Ph.D.

The future well-being, prosperity and sustainability of our nation, the global community and our planet resides in igniting and nurturing decidedly different STEM minds that can advance both the new STEM frontier and the human future.

Teds-M Plenary Panel At Icme-12, Ray Peck

Ray Peck

Focusing on mathematics learning at school level, mathematics teachers have the strongest influence on student learning because they are directly working with students. Teachers are regarded as key persons of educational change. For example, a meta-analysis on student learning (Hattie, 2003) found that teachers' impact on students' learning is high: Identified factors that contribute to major sources of variation in student performance include the students (50%) and teachers (30%) as the most important factors, whereas home, schools, principals, peer effects (altogether 20%) play a less important role.

Investigating The Status Of Early Numeracy Skills In Bilingual Dual Language Learner Latino Children Attending Head Start And The Association With Parent Demographic Characteristics, Chavely Lissette Iglesias

USF Tampa Graduate Theses and Dissertations

Research on mathematics achievement has become increasingly important with today's technological advances and demand for specialized knowledge. Though there is much literature regarding mathematics achievement in monolingual speakers, little is known regarding the mathematical abilities of Dual Language Learner (DLL) Latino children. This study examined the early numeracy skills in English and Spanish of 132 DLL Latino children attending Head Start programs in five counties across Florida. Relationships and differences among their performance in both languages were examined, along with the contribution of specific parent demographic variables to math achievement. Findings indicated that DLL Latino Head Start children's performance on …

Assessment Of Numeracy Levels Of Mine Workers In South African Chrome Mines, Antonie Christoffel Smit, Andile Mji

Numeracy

The aim of this paper is to assess and report the numeracy levels of unskilled and semi-skilled workers in three South African chrome mines in order to inform adult education practitioners of the need for greater efforts to educate mine workers. The target population consisted of 1,053 workers; the final sample was 873 participants who voluntarily agreed to partake in the study. The results presented here highlight three main findings: (1) that only 12 individuals (1.4%) were found to be numerate, (2) that female participants scored better than their male counterparts, and (3) that the numeracy level of participants older …

The Relationship Between Multiplication Fact Speed-Recall And Fluency And Higher Level Mathematics Learning With Eighth Grade Middle School Students, Steven James Curry

Dissertations

This quantitative study investigated relationships between higher level mathematics learning and multiplication fact fluency, multiplication fact speed-recall, and reading grade equivalency of eighth grade students in Algebra I and Pre-Algebra. Higher level mathematics learning was indicated by an average score of 80% or higher on first and second semester mathematics assessments and proficient or advanced descriptor on the mathematics Missouri Assessment Program tests. Timed multiplication fact quizzes were administered to eighth grade students. Speed-recall scores were measured by the number of accurate answers in a 45-second time frame. Fluency was obtained by a student score of 35 accurate answers in …

Converting And Ordering Rational Numbers [6th Grade], Danielle Kunetz, Melanie Webb

Understanding by Design: Complete Collection

The goal of this unit is for students to understand that numbers have equivalencies in many representations and in order to compare rational numbers, they must be expressed using the same representation.

Throughout the unit, students compare and order rational numbers first within the same representation, and then learn to convert between representations to compare numbers between different forms.

The unit culminates with the students using what they have learned to analyze statistics of a basketball team in order to form a starting line-up with what they perceive to be the best players on the team.

Some supplementary materials were …

This Graph Is Speaking To Me; How Do I Listen? [8th Grade], Matthew Patty

Understanding by Design: Complete Collection

This unit is written to address the 8th Grade Mathematics TEKS focused around statistics. Students will begin with an exploratory lesson in which they develop the requirements of a valid survey. They will then research and design three separate surveys that could be used to make claims about a population in their area. Next, students will pair up and carry out a survey at a local location. After the surveys, the students will bring their data back to the classroom and create presentations using at least four different types of graphical representations. Accompanying each graphical representation must be at least …

Employment Of An Informal Educational Mathematical Facility To Lower Math Anxiety And Improve Teacher And Student Attitudes Towards Understanding Mathematics, Vicki Adams

Dissertations

Students do not pursue careers in science, technology, engineering, or mathematics (STEM) because of a lack of ability, but rather a lack of positive experiences with mathematics. Research has concluded that attitudes in math directly influence success in mathematics. As many as 75% of high school graduates in the United States suffer from mild to severe forms of math anxiety. The improvement of student achievement in mathematics in the United States lags behind that of many other nations in the world. Efforts to improve student achievement in mathematics have focused on developing effective teachers and teaching practices, creating state and …

The Effect Of Differentiated Instruction On Standardized Assessment Performance Of Students In The Middle School Mathematics Classroom, Kimberly Gail Williams

Doctoral Dissertations and Projects

Changing demographics, student diversity, and increased accountability have compelled educators to challenge the uniform constraints of traditional instruction and create an environment focused on individual achievement. Differentiated instruction empowers teachers to target multiple learning styles through varied themes, adapted content delivery, and assessment options. This quantitative quasi-experimental research study examined the effects of differentiated instruction on seventh grade student performance on standardized mathematics assessments using a repeated-measures design. Two independent research trials, controlling for initial group differences with 2011 Texas Assessment of Knowledge and Skills (TAKS) scores, provided inconclusive assessment results. Significant differences between students who received differentiated instruction compared …

Comparing The Success And Experiences Of Developmental Algebra I Students, Christy Lowery-Carter

Doctoral Dissertations and Projects

Students enrolled during the spring 2011 and summer 2011 semesters taking developmental Algebra I were invited to participate in a study. Students were required to complete a researcher-made pretest prior to instruction, complete the course over the semester, and complete an identical posttest at the end of the course. The online students voluntarily completed a researcher-made survey. An ANCOVA analysis, using the pretest scores as a covariate, showed a significant difference between the online and seated students, as the online students scored significantly higher. The survey showed online students tended to utilize the captured lectures, with a larger percentage of …

Evaluation Of Booklet Effect In Pisa Mathematics Across Countries, Luc Le

Dr Luc Tu Le

In PISA 2003, 13 main linked test booklets were constructed by item cluster rotation design. Each student was randomly assigned one of the test booklets. Each of the selected clusters was located in four of the test booklets in different positions. There were seven mathematics clusters with a total of 85 items. Booklet effect was identified and was used to adjust the measure of student performance in PISA (see PISA 2003 technical report; OECD, 2004). This study was designed to explore which factors could account for this booklet effect in mathematics across 41 PISA countries. A three-faceted partial credit model …

Supporting Teachers’ Professional Learning At A Distance: A Model For Change In At-Risk Contexts, Elizabeth A. Warren, Janine Quine, Eva Devries

Australian Journal of Teacher Education

This paper examines the effectiveness of a professional learning model developed to support early years teachers in rural and remote communities in Queensland as they began to implement the Australian Curriculum in Mathematics. The data are drawn from 35 teachers at the initial stage of a large, four year longitudinal study RoleM (Representations, oral language and engagement in Mathematics). The particular aims of the longitudinal study are to (a) identify effective pedagogical practices that may assist young Indigenous Australian students to negotiate Western mathematical understanding, and (b) investigate professional learning models that best support teachers within this context. The data …