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| Last Update: Thursday, May 1, 2010
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Good assessment practices transcend mathematics. Periodically, my role as Math Consultant for our district allows me to have conversations regarding how assessment pracices can improve student learning.
One resource I've used comes from the Alberta Assessment Consortium (AAC) and Holy Family Catholic Regional School Division #37 titled, Reflections from the Classroom. Please use it as a reference guide.
- What am I going to do to get them to know me?
- What am I going to do to get to know my students?
- Do I offer my students choice?
- Are my students able to make real-life connections in their learning because it is meaningful to them?
- Are my summative assessments reflective of what my students are demonstrating on a consistent basis?
- Do I have them be responsible for presentation and sharing of their work?
- Do I have students reflect on their work?
- Do I use flexible groups?
- Do I establish a culture that supports different needs and learning styles? Do my students know that I will make decisions that may not be equal but will support the various learners?
- Do I set students up for success by regularly pre-assessing where they are and adjusting instruction as needed?
- Do I have a huge 'bag of tricks' on which I can draw to teach concepts in many different ways?
- Do I give my students enough high level practice to prepare them to be successful on summative assessments?
- Do I allow re-do's, trash-it's and do-over's?
- Do I tier assignments, tests, or learning centers?
- Do I make some students do busy work that they already know how to do?
Or give large numbers of lower level thinking assignments just to have
marks in my book?
- Do I present as a passionate caring teacher who comes to school every day wanting to make a difference?
- Do I encourage students to celebrate their successes and facilitate
ways for them to demonstrate proof/evidence of their learning to a
variety of audiences?
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| How to Give Effective Feedback to Your Students
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Kathleen Murphy-House sent me an article from the November Issue of Education Update. I thought it was an informative read. Here it is:
How to Give Effective Feedback to Your Students
A Conversation with Author Susan M. Brookhart
Q: In what way is feedback an important component of the formative assessment process?
A:
Feedback is the glue that holds the whole formative assessment process
together. The process is about starting with a clear idea of the
learning goal and what good work looks like, comparing current work to
that, and taking steps to move closer to that goal. Feedback sounds
like it would be that middle component—comparing current work to the
goal—but, in reality, it links all three components. Good feedback
helps the student compare current work to the goal in light of those
criteria for good work, and good feedback helps the student figure out
how to move closer to the goal. And, most importantly, teacher feedback
is only good insofar as it helps the
student understand the possibilities for improvement. It supports students' involvement in their own learning.
Q: How much feedback is too much?
A:
Too little feedback leaves students wondering what you thought of their
work, and too much leaves them with that "eyes-glazed-over" feeling.
So, one way to check on your feedback is to check for students'
understanding. Don't just say, "Do you see what I mean?" They'll say,
"Yes," of course. Really check. For example, [ask your students] "What
is the most important thing you're going to do next?" Another way to
check on your feedback is to observe its results. Is the next work
better in the intended ways?
It's also a good
idea to have a plan or routine, based on the amount of feedback you
have found is most often appropriate for your students. For example,
you might decide that on every paper you'll note at least one strong
quality and one suggestion for improvement. You can vary your basic
plan for different students' needs, but at least you start with a plan.
Q:
You say an example of bad feedback is writing "voluminous comments" on
poor-quality papers and almost nothing on good-quality papers. What
type of feedback would be useful on good-quality papers?
A:
Good students, like any students, want their teachers to notice their
good work. Not commenting on good-quality papers is a huge missed
opportunity. If good feedback helps the student compare current work to
the goal (referred to as "description") and helps the student figure
out how to move closer to the goal (referred to as "suggestions for
improvement")—what do you do when the student has already met the goal?
The "description" part stays the same; at minimum, select one or
several features of the student's work that has clearly met the
criteria and tell why.
The "suggestions for
improvement" part becomes suggestions for expansion or enrichment of
student understanding. Enrichment can take at least two forms:
expanding understanding into related content or expanding skill in the
same content beyond the expectations built into the rubric or
performance criteria. Here's an example of feedback intended to expand
understanding into related content: "This report about prisms shows you
really understand how prisms refract light. Did you know that some
prisms also reflect light, like in binoculars? See what you can find
out about prisms that reflect light, and you can share it with your
group." And here's an example of feedback intended to expand
expectations beyond current expected performance levels: "This report
about prisms shows you really understand how prisms refract light. In
your next report, see if you can find a picture or graph to illustrate
every point in your report."
And finally,
don't forget that even students who have met goals should engage in
further goal-setting. Ask them what they would like to aim for next,
perhaps giving some suggestions in both categories: expanding content
or pushing performance standards. Have them state their next goal and
describe how they'll get there.
Q: How can teachers convey to all students that they are "agents, active learners, the captains of their own ship of learning"?
A:Every
student, no matter what the age or developmental level, is an active
learner. There is no such thing as "passive learning." So [teachers
need] to believe that. Don't fall into the trap of trying to "help" by
giving passive prescriptions to poor students and assuming active
participation only for good students. Either a student is captain of
his or her own ship of learning—or there is no ship, no learning. Treat
all students as if this were true, because it is.
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Parent Information About the New Alberta Mathematics Curriculum
Do You Know There is a New Mathematics Curriculum?
There has been a revision in the Kindergarten to Grade 9 Alberta Mathematics Program of Studies that will be taught in classrooms. Most of what the students are learning is as familiar as the math you learned when you were in elementary school. The change in mathematics is not so much in what students are learning but in how students are involved with mathematics as they are learning.
It is likely that when you studied math, you were expected to complete a lot of computations accurately and quickly. The way to get better was to do more and more questions. The focus of this math curriculum has placed a greater emphasis on understanding the mathematical concepts and applying thinking skills to arrive at an answer. The way to get better is to consider various ways to find answers and be able to explain why the answer is right.
The mathematics classroom may look very different from classrooms when you were a student! Children will be talking about their math and how they try to solve problems. They will be using physical materials to test their thinking and help show how they work through problems. Children will be working with others. Students will be actively learning mathematics!
30 years of research into math instruction has shown us that when the emphasis is on the student’s understanding of the math concept, they learn the concept better, they remember is longer and are able to use their knowledge to solve problems more effectively.
How Might You Support Your Child in Mathematics?
- Let your child know that all students can be successful in mathematics.
- Encourage your child to think of math problems as puzzles or games.
- Don’t underestimate your own mathematical capabilities.
- Don’t say, “I was never good at math.”
- Encourage your child to restate the problem in his or own words.
- Discuss how you use mathematics in your daily life. For example, cooking, shopping, bus schedules, or math at work.
This newsletter article is produced by the Alberta Regional Professional Development Consortia as a result of a grant from Alberta Education to support implementation of mathematics.
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| Announcements for Teachers
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Hi Everyone!
I highly encourage you to visit the exciting new Learn Alberta website. It has all the programs of studies with links to many online resources for each outcome. It also has 31 Planning Guides for Grades K, 1, 4, 7 and 8 that take you through much of the UbD planning process. If you are not a Grade K, 1, 4, 7 and 8 teacher the Guiding Questions in each of the 5 steps of the planning process will easily take you through the planning at your respective grade level.
Planning Guides are a tool for teachers to use in designing instruction and assessment that focuses on developing and deepening students' understanding of mathematical concepts. This tool is based on the process outlined in Understanding by Design, by Grant Wiggins and Jay McTighe.
The following steps will help you through the Planning Guide:
* Step 1: Identify Outcomes to Address * Step 2: Determine Evidence of Student Learning * Step 3: Plan for Instruction * Step 4: Assess Student Learning * Step 5: Follow-up on Assessment
The website address is:
http://new.learnalberta.ca
Please play around the website as it takes a little time to get comfortable with it. If you want to go directly to the Planning Guides, on the main page do a search for Grade Level, Mathematics, Planning Guide.
Good luck and enjoy!
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From the ATA News Volume 43, Number 3, September 23, 2008 p. 2
Homework deemed unfair to students
Jan Olson, principal of Prince of Wales Public School, in Barrie, Ontario, has taken a firm stand on homework. He's banned it outright. "We send these projects home, and we don't know who's done them. And we don't know what the family life is like," explains Olson. The inner-city school principal cited an example of a 12-year-old child who cared for her siblings after school becuase her mother was often passed out on the floor. The girl's "job was to make sure the younger ones didn't wake mom up. She had to feed them, she had to get them to bed - and the next day she's in detention because she didn't do her homework." Olson questions the issue of fairness when it comes to home life - where's the fairness in affluent families possessing computers and educationally stimulating resources when other families exist below the poverty line? "We have to accept the responsibility that we are perpetuating and extending the gap between the have and have-nots," he says.
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How fast does your heart beat? How long does it take for your heart to beat 1000 times?
Figure This! If you started counting your heartbeats at midnight on January 1, 2009, when would you count the millionth beat? What about the billionth beat?
Hint: Estimate your heart rate in beats per minute, per hour, and per day.
Estimating and understanding large numbers are useful mathematical skills. Without these skills, it is difficult to comprehend the size of the national debt, for example, or how many kilometres it is to Mars.
Try this with your students.
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| Curriculum & Resource Links
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One of the most important cultural shifts that must take place if schools are to perform as professional learning communities involves a shift from a primary focus on teaching to placing the primary focus on learning.
Eaker & DuFour 2007
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Try a partner test.
Divide the class into pairs, and give each partner a different version of the test. Tell your students that you will only grade one test from each pair, but don’t tell them which test it will be. This will allow your students to talk and debate math, facilitating learning.
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Math Comics to Brighten Your Day

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