Activities for Students: Unit Fractions and Their Basimal Representations: Exploring Patterns

2004 ◽  
Vol 98 (4) ◽  
pp. 274-284
Author(s):  
Marlena Herman ◽  
Eric Milou ◽  
Jay Schiffman
Keyword(s):  
Preservice Teachers ◽  
Secondary Mathematics ◽  
Rational Numbers ◽  
College Level ◽  
Unit Fractions ◽  
Flexible Thinking ◽  
Mathematics Course

Major foci of secondary mathematics include understanding numbers, ways of representing numbers, and relationships among numbers (NCTM 2000). This article considers different representations of rational numbers and leads students through activities that explore patterns in base ten, as well as in other bases. These activities encourage students to solve problems and investigate situations designed to foster flexible thinking about rational numbers. Preservice teachers in a college-level mathematics course carried out these activities. Their conjectures and ideas are incorporated throughout this article.

Teaching Secondary Mathematics

2021 ◽  
Author(s):  
Gregory Hine ◽  
Judy Anderson ◽  
Robyn Reaburn ◽  
Michael Cavanagh ◽  
Linda Galligan ◽  
...  
Keyword(s):  
Preservice Teachers ◽  
Mathematics Teachers ◽  
Torres Strait Islander ◽  
Ways Of Knowing ◽  
Secondary Mathematics ◽  
Australian Curriculum ◽  
Australian Education ◽  
Mathematical Problems ◽  
Torres Strait ◽  
Short Answer Questions

Secondary mathematics teachers working in the Australian education sector are required to plan lessons that engage with students of different genders, cultures and levels of literacy and numeracy. Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers to help preservice teachers develop lesson plans that resonate with students. This edition has been thoroughly revised and features a new chapter on supporting Aboriginal and Torres Strait Islander students by incorporating Aboriginal and Torres Strait Islander cultures and ways of knowing into lessons. Chapter content is supported by new features including short-answer questions, opportunities for reflection and in-class activities. Further resources, additional activities, and audio and visual recordings of mathematical problems are also available for students on the book's companion website. Teaching Secondary Mathematics is the essential guide for preservice mathematics teachers who want to understand the complex and ever-changing Australian education landscape.

Teaching and Learning to Communicate

2013 ◽  
pp. 579-599
Author(s):  
Cynthia J. Benton ◽  
Kathleen A. Lawrence
Keyword(s):  
Preservice Teachers ◽  
Student Learning ◽  
Communication Skills ◽  
Teaching And Learning ◽  
Communication Competence ◽  
College Level ◽  
Education Programs ◽  
Professional Success ◽  
Evaluating Methods ◽  
K 12

Effective presentation skills and communication competence are important developmental qualities for teachers’ professional success and K-12 students’ learning. Yet identifying the definitive qualities and methods to practice and evaluate those skills has had minimal emphasis in current education programs. In addition to traditional abilities such as making clear presentations, speaking well, and articulating an argument, K-20 learners are faced with an explosion of options for accessing, organizing, and presenting information using technology. This study documents methods for college-level instruction and assessment of presentation skills, which serve as evidence of preservice teachers' readiness to demonstrate effective communication skills for K-12 student learning. The report summarized in this chapter tracks two years of creating and evaluating methods for promoting professional presentation and communication skills, and includes rubrics focused on the development and evaluation of those skills.

A natural way to teach division of rational numbers

1969 ◽  
Vol 16 (2) ◽  
pp. 91-93
Author(s):  
Irvin E. Vance
Keyword(s):  
Preservice Teachers ◽  
Elementary Teachers ◽  
Rational Numbers ◽  
Natural Way

In working with students in Grades 5–9, preservice teachers, and in-service elementary teachers, we ask the question: “Can you solve the problem 14/9, ÷ 2/3 by dividing 14 by 2 and 9 by 3?”

The Atlanta meeting of the National Council of Teachers of Mathematics

1964 ◽  
Vol 11 (6) ◽  
pp. 449-450
Keyword(s):  
High School ◽  
Elementary School ◽  
Mathematics Education ◽  
Rational Numbers ◽  
National Council ◽  
Peach Tree ◽  
College Level ◽  
Probability And Statistics ◽  
The City

In the height of autumn, the City of Peachtree Street in the Peach Tree State will be the locale of the Atlanta Meeting of the National Council of Teachers of Mathematics. This event, a first of its kind for Atlanta and for Georgia, is designed to attract persons interested in mathematics, kindergarten to the college level. From geometry in the kindergarten to probability and statistics in high school; from the rational numbers in the elementary school to applications of mathematics in the senior high school, from the role of reading to the role of the administrator in improving mathematics education; in short, whatever aspects of mathematics on the school and college levels fascinate one will be presented during the Atlanta Meeting, November 19-21, 1964.

Preservice Elementary Teachers: Building Portfolios Around Students' Writings

1996 ◽  
Vol 2 (5) ◽  
pp. 308-313
Author(s):  
Patricia Pokay ◽  
Carla Tayeh
Keyword(s):  
Preservice Teachers ◽  
Elementary Teachers ◽  
Mathematics Classroom ◽  
Portfolio Assessment ◽  
Preservice Elementary Teachers ◽  
College Mathematics ◽  
Mathematics Courses ◽  
Lecture Format ◽  
Mathematics Course

Traditionally, college mathematics courses have rarely asked students to write or to reflect on their learning, concentrating instead on textbook exercises and problem sets in a lecture format. The intent of this study was to model the use of portfolio assessment in a college mathematics course for preservice teachers while focusing on the contributions of the students' writing in the mathematics classroom. In the study, portfolios were the vehicle for organizing the students' writings.

scholarly journals Assessing the Effectiveness of Quantway®: A Multilevel Model With Propensity Score Matching

2018 ◽  
Vol 46 (3) ◽  
pp. 257-287 ◽  
Author(s):  
Hiroyuki Yamada ◽  
Angel X. Bohannon ◽  
Alicia Grunow ◽  
Christopher A. Thorn
Keyword(s):  
Propensity Score ◽  
Student Success ◽  
Propensity Score Matching ◽  
Hierarchical Linear Modeling ◽  
Developmental Mathematics ◽  
College Level ◽  
Linear Modeling ◽  
Mathematics Courses ◽  
Matched Comparison ◽  
Mathematics Course

Objective: Quantway is a Carnegie Math Pathways initiative, which redesigns the content, pedagogy, and structure of traditional developmental mathematics courses to simultaneously tackle traditional barriers to student success and support a broad range of developmental students in achieving their mathematics potential. Specifically, Quantway is a quantitative reasoning sequence that is comprised of a single term accelerated developmental mathematics course called Quantway 1 and a college-level mathematics course called Quantway 2. This study assesses the effectiveness of the developmental mathematics course, Quantway 1, during its first six semesters of implementation. Method: We used a hierarchical linear modeling technique to conduct propensity score matching across 37 student characteristics to compare the course performance of Quantway 1 students with matched comparison students from traditional developmental mathematics courses. Results: Quantway 1 students demonstrated significantly higher odds of success in fulfilling developmental mathematics course requirements and enrolling in college mathematics courses in the following year than matched comparison students. In addition, Quantway 1 effects were positive across all sex and race/ethnicity subgroups as well as in nearly all classrooms and colleges. Contributions: This study provides robust evidence that Quantway 1 increases student success in fulfilling developmental mathematics requirements and advances equity in student outcomes. Implications of and future directions for the Pathways are discussed.

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