COURSE TITLE:
TEACHING NUMERACY: Habits To Ignite Math Thinking
NO. OF CREDITS:
3 QUARTER CREDITS
[semester equivalent = 2.00 credits]
WA CLOCK HRS: OREGON PDUs: |
30 30 |
INSTRUCTOR:
Suzanne Warner
sw11235@yahoo.com
COURSE DESCRIPTION:
Many students lack basic numeracy – the ability to think through math problems logically, solve problems, and apply math outside the classroom. This independent study course outlines nine critical thinking habits that foster numeracy and details practical ways to incorporate these habits into your instruction. The text, Teaching Numeracy: 9 Critical Habits to Ignite Mathematical Thinking, refers to Common Core Standards, NCTM (National Council of Teachers of Mathematics) Standards, and numerous successful mathematical literacy practices. Included in each section is a “How Can I Do This in My Math Class…Tomorrow?” application section with multiple ideas and methods to incorporate numeracy into your classroom. No more will students arrive at wildly wrong answers and have no idea how or why!
This course is appropriate for teachers K-12.
LEARNING OUTCOMES: Upon completion of this course, participants will have:
COURSE REQUIREMENTS:
Completion of all specified assignments is required for issuance of hours or credit. The Heritage Institute does not award partial credit.
HOURS EARNED:
Completing the basic assignments (Section A. Information Acquisition) for this course automatically earns participant’s their choice of CEUs (Continuing Education Units), or Washington State Clock Hours or Oregon PDUs. The Heritage Institute offers CEUs and is an approved provider of Washington State Clock Hours and Oregon PDUs.
UNIVERSITY QUARTER CREDIT INFORMATION
REQUIREMENTS FOR UNIVERSITY QUARTER CREDIT
Continuing Education Quarter credits are awarded by Antioch University Seattle (AUS). AUS requires 75% or better for credit at the 400 level and 85% or better to issue credit at the 500 level. These criteria refer both to the amount and quality of work submitted.
CREDIT/NO CREDIT (No Letter Grades or Numeric Equivalents on Transcripts)
Antioch University Seattle (AUS) Continuing Education Quarter credit is offered on a Credit/No Credit basis; neither letter grades nor numeric equivalents are on a transcript. 400 level credit is equal to a "C" or better, 500 level credit is equal to a "B" or better. This information is on the back of the transcript.
AUS Continuing Education quarter credits may or may not be accepted into degree programs. Prior to registering determine with your district personnel, department head or state education office the acceptability of these credits for your purpose.
ADDITIONAL COURSE INFORMATION
REQUIRED TEXT
The text is Teaching Numeracy: 9 Critical Habits to Ignite Mathematical Thinking by Margie Pearse & K.M. Walton, about $20 on Amazon.
MATERIALS FEE
Text, Teaching Numeracy: 9 Critical Habits to Ignite Mathematical Thinking, is approximately $20 on Amazon.
ASSIGNMENTS REQUIRED FOR HOURS OR UNIVERSITY QUARTER CREDIT
A. INFORMATION ACQUISITION
Assignments done in a course forum will show responses from all educators active in the course. Feel free to read and respond to others comments.
Assignment #1: COURSE FORUM - What is Numeracy?
Feel free to respond to any other postings from educators who are also taking this course.
Assignment #2: The Nine Critical Habits
Assignment #3: The Five Essential Components
Assignment #4: COURSE FORUM - Numeracy and Mathematical Thinking
(1) Read the following websites:
(2) Write a 500-word (or more) culminating paper summarizing your conclusions from the text, videos and online readings, comparing and contrasting the text reading and online articles. In addition, consider the following in your culminating paper:
Feel free to respond to any other postings from educators who are also taking this course.
ADDITIONAL ASSIGNMENTS REQUIRED FOR UNIVERSITY QUARTER CREDIT
B. LEARNING APPLICATION
In this section you will apply your learning to your professional situation. This course assumes that most participants are classroom teachers who have access to students. If you do not have a classroom available to you, please contact the instructor for course modifications. Assignments done in a course forum will show responses from all educators active in the course. Feel free to read and respond to others comments.
Assignment #5: How Can I Do This in My Math Class…Tomorrow?
Habits 1– 8 each have a sub-section titled, “How Can I Do This in My Math Class…Tomorrow?” Implement 4 - 5 ideas in your classroom and write a 500 word (or more) paper on the ideas you chose and how the students responded to their use. Comment on how you would modify the strategy when implementing again, and why. Submit your lesson along with samples of exemplary student work (via video, photos, scans of essays etc) and include any rubric used for assessment purposes. Once your lesson is done, upload using the lesson upload function below.
Note - If you are unable to implement because of a lack of a class (e.g. substitute teacher, summertime, currently not in the classroom, etc...), feel free to either implement at home with your own children (if applicable), friends' children or create lesson plans for a future class including thoughts of what could be challenging and what you anticipate to be easy to implement.
Assignment #6: Questioning Strategies
Implement the questioning strategies that you have learned in this course for a 2-3 week period. Then, in a 500-word (or more) paper, share:
Note - If you are unable to implement because of a lack of a class (e.g. substitute teacher, summertime, currently not in the classroom, etc...), feel free to either implement at home with your own children (if applicable) or create lesson plans for a future class including thoughts of what could be challenging and what you anticipate to be easy to implement.
Assignment #7: Mentoring
Mentor one other teacher in the methods and information from this class and observe her/him in the classroom. Write a 500-word (or more) paper summarizing your observation and results of how s/he incorporated the strategies of teaching numeracy.
Note – If you currently are not in your own classroom, you are welcome to do a different assignment, such as: interviewing 2 - 3 teachers about how they integrate numeracy into their classroom, create a blog describing numeracy and how it relates to your teaching, or you may select one of the options from Assignment #8. I am also open to any ideas you may have.
Assignment #8: (500 LEVEL ASSIGNMENT)
In addition to the 400 level assignments, complete one of the following:
Option A)
Create a 15-20 minute PowerPoint Presentation about Teaching Numeracy (incorporating the text and online readings) that could be used as an in-service to colleagues in your school.
OR
Option B)
Conduct research of 3-5 online periodicals, online articles or videos on mathematical thinking and numeracy. Document the key points in a mind-map or 4-page paper analyzing how your research supports and/or contradicts what you’ve read in the text.
OR
Option C)
Another assignment of your own design with the instructor’s prior approval.
C. INTEGRATION PAPER
Assignment #9: (Required for 400 and 500 Level)
SELF REFLECTION & INTEGRATION PAPER
(Please do not write this paper until you've completed all of your other assignments)
Write a 350-500 word Integration Paper answering these 5 questions:
INSTRUCTOR COMMENTS ON YOUR WORK:
Please indicate by email to the instructor if you would like to receive comments on your assignments.
QUALIFICATIONS FOR TEACHING THIS COURSE:
Suzanne Warner, M.S., received her Masters Degree in Education from the University of Rochester, New York. She has taught mathematics in the middle school, high school, and college settings, most recently in Oregon. Suzanne has been lauded by administrators, colleagues, students and parents regarding her teaching and classroom management skills. Her students enjoy learning in a respectful, productive environment, where each student is in control of her/his own learning and behaviors. She strongly believes that all students want to do well, and creates a teaching environment for them to succeed.
When not in the classroom, Suzanne enjoys spending time with her family reading, hiking, backpacking and traveling.
BIBLIOGRAPHY
TEACHING NUMERACY: Habits To Ignite Math Thinking
Boaler, Jo. What’s Math Got to Do with It? How Parents and Teachers Can Help Children Learn to Love Their Least Favorite Subject, 1^{st} Edition. 2009. Penguin Books, paperback, 288 pages, ISBN: 978-0143115717, In this straightforward and inspiring book, Jo Boaler, a professor of mathematics education at Stanford for nine years, outlines concrete solutions that include classroom approaches, essential strategies for students, and advice for parents. This is a must-read for anyone who is interested in the mathematical and scientific future of our country.
Humphreys, Cathy and Ruth Parker. Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 4-10, 1^{st} Edition. 2015. Stenhouse Publishing. Paperback, 200 pages, ISBN: 978-1571109989, Making Number Talks Matter is about the myriad decisions facing teachers as they make. Throughout the book, Cathy Humphreys and Ruth Parker offer practical ideas for using Number Talks to help students learn to reason numerically and build a solid foundation for the study of mathematics. This book will be an invaluable resource whether you are already using Number Talks or not; whether you are an elementary, middle school, high school, or college teacher.
Moynihan, Christine. Math Sense: The Look, Sound and Feel of Effective Instruction, 1^{st} Edition. 2012. Stenhouse Publishers. Paperback, 144 pages, ISBN: 978-1571109422, Chris Moynihan explores some of the components that comprise the look, sound, and feel of effective teaching and learning. Does the landscape of the classroom feature such items as student work samples, a math literature collection, and a number line? Do the lessons include wait time, checks for understanding, and written feedback? Do you feel a spirit of collaboration, risk taking, and a sense of pride? Math Sense provides a series of self-assessment rubrics to help you identify the earmarks of a vibrant mathematics community and help you to inform refine your practice. This practical guide offers a road map for taking stock of your teaching and building a stronger mathematics classroom environment for you and your students.
Sammons, Laney, Building Mathematical Comprehension, 1^{st} Edition. 2011. Shell Education. Paperback, 304 pages, ISBN: 978-1425807894, This resource applies familiar reading comprehension strategies to mathematics instruction to aid in building students' comprehension in mathematics. Building Mathematical Comprehension demonstrates how to facilitate student learning to build schema and make connections among concepts. It also provides clear strategies for helping students ask good questions, visualize mathematics, and synthesize their understandings. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills and supports the Common Core State Standards.
Shumway, Jessica F. Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, 1^{st} Edition. 2011. Stenhouse Publishers. Paperback, 192 pages, ISBN: 978-1571107909, In Number Sense Routines, Shumway shows that number sense can be taught to all students. Dozens of classroom examples - including conversations among students engaging in number sense routines - illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying big ideas, skills, and strategies that children learn as they develop numerical literacy.
Smith, Margaret Schwan and May Kay Stein, 5 Practices for Orchestrating Productive Mathematics Discussion, 1^{st} Edition. 2011. National Council of teachers of Mathematics. Paperback, 104 pages, ISBN: 978-0873536776, The 5 Practices framework identifies a set of instructional practices that will help teachers achieve high-demand learning objectives by using student work as the launching point for discussions in which important mathematical ideas are brought to the surface, contradictions are exposed, and understandings are developed. By giving teachers a road map of things that they can do in advance and during whole-class discussions, these practices have the potential to help teachers more effectively orchestrate discussions that are responsive to students and the disciplinef.