9 results on '"Bowen Kerins"'
Search Results
2. Fractions: To Be Continued
- Author
-
Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, Bowen Kerins, Darryl Yong, Al Cuoco, and Glenn Stevens
- Subjects
- Fractions--Study and teaching--Congresses, Mathematics teachers--Training of--Congresses
- Abstract
This is the eighth book in the Teacher Program Series. Each book includes a full course in a mathematical focus topic. The topic for this book is the study of continued fractions, including important results involving the Euclidean algorithm, the golden ratio, and approximations to rational and irrational numbers. The course includes 14 problem sets designed for low-threshold, high-ceiling access to the topic, building on one another as the concepts are explored. The book also includes solutions for all the main problems and detailed facilitator notes for those wanting to use this book with students at any level. The course is based on one delivered at the Park City Math Institute in Summer 2018. more...
- Published
- 2021
Catalog
3. Creating a Hybrid Immersive Mathematics Experience
- Author
-
Tracy Cordner, Gail Burrill, Bowen Kerins, Eden Badertscher, Miriam Gates, and Al Cuoco
- Subjects
Ninth ,Teaching method ,05 social sciences ,Professional development ,050301 education ,050801 communication & media studies ,Cognition ,Eleventh ,0508 media and communications ,Work (electrical) ,ComputingMilieux_COMPUTERSANDEDUCATION ,Mathematics education ,Faculty development ,Mathematics instruction ,0503 education - Abstract
With this professional development program, teachers work with colleagues and experience a manner of teaching that embeds habits of mind.
- Published
- 2016
- Full Text
- View/download PDF
4. Probability and Games
- Author
-
Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, Mary Pilgrim, Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, and Mary Pilgrim
- Subjects
- Mathematics--Study and teaching--Congresses, Probabilities--Congresses, Mathematical statistics--Congresses, Mathematics teachers--Training of--Congresses
- Abstract
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability and Games is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. This course leads participants through an introduction to probability and statistics, with particular focus on conditional probability, hypothesis testing, and the mathematics of election analysis. These ideas are tied together through low-threshold entry points including work with real and fake coin-flipping data, short games that lead to key concepts, and inroads to connecting the topics to number theory and algebra. But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes. These materials provide participants with the opportunity for authentic mathematical discovery—participants build mathematical structures by investigating patterns, use reasoning to test and formalize their ideas, offer and negotiate mathematical definitions, and apply their theories and mathematical machinery to solve problems. Probability and Games is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in this series covers the content of one Summer School Teacher Program year and is independent of the rest. more...
- Published
- 2017
5. Fractions, Tilings, and Geometry
- Author
-
Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, Mary Pilgrim, Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, and Mary Pilgrim
- Subjects
- Fractions, Geometry, Aperiodic tilings, Tiling spaces
- Abstract
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Fractions, Tilings, and Geometry is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. The overall goal of the course is an introduction to non-periodic tilings in two dimensions and space-filling polyhedra. While the course does not address quasicrystals, it provides the underlying mathematics that is used in their study. Because of this goal, the course explores Penrose tilings, the irrationality of the golden ratio, the connections between tessellations and packing problems, and Voronoi diagrams in 2 and 3 dimensions. These topics all connect to precollege mathematics, either as core ideas (irrational numbers) or enrichment for standard topics in geometry (polygons, angles, and constructions). But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes. These materials provide participants with the opportunity for authentic mathematical discovery—participants build mathematical structures by investigating patterns, use reasoning to test and formalize their ideas, offer and negotiate mathematical definitions, and apply their theories and mathematical machinery to solve problems. Fractions, Tilings, and Geometry is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in this series covers the content of one Summer School Teacher Program year and is independent of the rest. more...
- Published
- 2017
6. Applications of Algebra and Geometry to the Work of Teaching
- Author
-
Bowen Kerins, Benjamin Sinwell, Darryl Yong, Al Cuoco, Glenn Stevens, Bowen Kerins, Benjamin Sinwell, Darryl Yong, Al Cuoco, and Glenn Stevens
- Subjects
- Mathematics--Study and teaching, Mathematics teachers--Training of, Arithmetical algebraic geometry
- Abstract
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The specific theme developed in Applications of Algebra and Geometry to the Work of Teaching is the use of complex numbers—especially the arithmetic of Gaussian and Eisenstein integers—to investigate some questions that are at the intersection of algebra and geometry, like the classification of Pythagorean triples and the number of representations of an integer as the sum of two squares. Applications of Algebra and Geometry to the Work of Teaching is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. more...
- Published
- 2015
7. Famous Functions in Number Theory
- Author
-
Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, Bowen Kerins, Darryl Yong, Al Cuoco, and Glenn Stevens
- Subjects
- Number theory, Mathematics--Study and teaching, Mathematics teachers--Training of
- Abstract
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares. Famous Functions in Number Theory is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. more...
- Published
- 2015
8. Probability through Algebra
- Author
-
Bowen Kerins, Benjamin Sinwell, Al Cuoco, Glenn Stevens, Bowen Kerins, Benjamin Sinwell, Al Cuoco, and Glenn Stevens
- Subjects
- Probabilities, Algebra, Mathematics teachers--Training of, Mathematics--Study and teaching
- Abstract
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability through Algebra is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The specific themes developed in Probability through Algebra introduce readers to the algebraic properties of expected value and variance through analysis of games, to the use of generating functions and formal algebra as combinatorial tools, and to some applications of these ideas to questions in probabilistic number theory. Probability through Algebra is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. more...
- Published
- 2015
9. Delving Deeper: Gauss, Pythagoras, and Heron
- Author
-
Bowen Kerins
- Subjects
biology ,biology.animal ,Gauss ,Geometry ,Heron ,Mathematics - Abstract
The Park City Mathematics Institute (PCMI) IS a three-week-long intensive mathematics experience for mathematicians of all levels. Each summer, it brings together high school and university mathematics educators, as well as researchers, undergraduates, and graduate students. In addition to a series of cross-program activities, each group has a specific program. more...
- Published
- 2003
- Full Text
- View/download PDF
Discovery Service for Jio Institute Digital Library
For full access to our library's resources, please sign in.