14 ideas that makes sense. (A special thanks to all the teachers who came up with many of these ideas!) 1. Begin with the Show What You Know, as a pre-test. (diagnostic assessment) Before starting the unit, ask the students to do the “Show What You Know” (or “Unit Review” in grade 7). Show them that the red numbers in the margin display the lessons from the unit. As they’re working through the pre-test, encourage them to look back to the lessons if they’re having difficulty. It may be helpful for students to look at the Connect for the lessons they need some support with. When the Unit is done, students could redo the Show What You Know (or Unit Review). Again, encourage students to use the lesson numbers to help guide them. They could also show growth in a Math Journal or Portfolio by comparing the 2 pieces of assessment. 2. To review a Unit, ask students to make Study Cards. (summative assessment) At or near the end of the unit, give each student (or pairs of students) some index cards. Students flip back through the unit. Ask them to look at: the Lesson Focus (found on the first page of each lesson), the Connect for each lesson, and one or two problems from the Practice section. On one side of the index card, students summarize the key math learnings for the lesson. On the other side, the students show an example of the lesson focus. Encourage students to summarize in the best way possible (clear, succinct, snapshot). They use these cards to study. As seen on zapple.ca (Ray Appel) to multiply To show how . w to multiply bers o ow to whole nTuomsh ow ohw h sh o ls a n a To c bers We umow ho. w to multo whoelecimnsh . ls a w how tiply ors ho ltiplyWed w o msh le u ls m a nu n a be c can. We can use tion blocks aten im st ebase . nd W imsoalsth e ly nt-em cal o ca e d Fr n ip eow cho lt u to show how totomultiply ce sh la p d n anw to se o u ti a im ul st o beFrom ti e ls pl a d y n de e ci tn m al s. whole numbers. lace the Fr bet-en dd estotitompat also on ion can We can also showuse how also be used to place the multiply decimals. Front-end estimation can also be used to place the 3. Use the Key Words. Before starting the unit, ask the students to look at the Key Words on the Launch page. The students could make ‘bumper stickers’ of one of the words to show a definition, or perhaps they could make a poster showing what the key word means. The definition could include both a drawing, and a definition and an example or two. Students could be assessed on criteria such as: clarity, concepts, accuracy, representation and so on... Display the posters. Encourage students to look at these throughout the unit. Show students that their Key Words are in bold throughout the unit. 4. Help students start a Math Journal. Snag a copy of the “Writing a Math Journal” page from the grade 7 MMS text. Whether you teach grade 7 or not, the ideas here are fantastic and can be adapted across the grades. 5. Give students a choice on the Practice problems. If timing is an issue, then consider giving students some choices on which problems they want to do in a Venn diagram. In this example, the “Assessment Focus” question is in the middle along with one other question. Then, assign problem numbers in each circle so that each circle contains easy to more difficult problems. For homework, select one question from each circle and then collect the middle problems. As seen on zapple.ca (Ray Appel) 6. See MMS as a resource. Continue to use what you love. Consider as well how the other resources fit into the Ministry’s mandates, the IRPs, personal, school and district numeracy goals and so on... For ideas on literature, look in the Teacher Guide for literature resources to fit in with the specific math concepts you are working through. A good book list to get you started can be found at: www.zapple.ca/page10/page22/page22.html 7. Think about ways students can represent. As you ask for evidence of learning, consider how students can show their conceptual understanding. There are some great programs where students can make comics. Many of these programs are so easy that many students can learn them within minutes. I created this sample using Comic Life on a Mac. I took digital pictures and added words. Easy! Students could represent in many media: drawing, digital pictures, video, collage from magazines or internet, and so on... For more see www.zapple.ca As seen on zapple.ca (Ray Appel) 8. Support students with kid-friendly rubrics. As you ask for evidence of learning, consider how students can show think about their thinking. You can use rubrics from the Teacher’s Guide to assess. As well, (or instead of), you could also help the students assess their own learning using kid-friendly rubrics. You could make them with the class or use ones that are ready-made. The Numeracy Performance Standards are great for this as well! For more see www.zapple.ca/page10/page14/page14.html 9. Help kids talk math. Math Makes Sense is set up to encourage talk. One of the sometimes missed templates can be found in the Teacher’s Guide in the Program Masters section. It focuses on 4 areas: Problem Solving, Reasoning, Accuracy and Communication. If you feel that you are asking the same kinds of questions, this template is valuable. If you want kids to start using the questions of each other (and of their own learning), simply pick a few questions and prompts from each quadrant and give 1 or 2 of them to the students. As they solve Explores, ask them to ask the questions that were selected. How does it deepen understanding? In what cases would it be better to ask an accuracy prompt? A reasoning prompt? As seen on zapple.ca (Ray Appel) 9. Make use of the “Assessment Focus” questions. Make a simple math journal. Use the Assessment Focus problems, and copy them one per page. At the bottom, copy a kid-friendly rubric. Ask each student to use the space to solve the problem and show their strategies. As well, have them assess their own learning before handing it in. For the Assessment Focus questions and rubrics for your grade level, go to: www.zapple.ca and look under “Free Stuff”. This section is being updated to include as many grade levels as possible. students look for math in the real 10. Have world... Where is it? The more connections students can make between their lives and the real world, the more relevant math will be to them. They could look through flyers, the newspaper, or go to YouTube or Google to get ideas. As well, they could watch my movie to see where math is used in the real world. They could also make their own movies or photo collage based on the “Born Numeracy” movie. The movie can be found at: www.zapple.ca/page24/page24.html FREE handouts to support the movie can be found at: www.zapple.ca/page10/page23/page23.html As seen on zapple.ca (Ray Appel) 11. Check out the ProGuide in MMS. Be sure to check out the ProGuide DVDs found in the front of the WNCP Editions of the MMS ProGuides. These DVDs show some of the lessons in real classrooms. As well, they could be used with an LCD projector to display movie clips, masters and student text pages! 12. Review material found in MMS. Any new resource that aligns with the Ministry guidelines, and the WNCP mandates can no longer have review in the main resource. But do not fear. Math Makes Sense has a booklet entitled, “Activating Prior Knowledge” which should be included in your ProGuide. If not, check out the CD ROM and the DVD. 13. Be aware of how the “Processes of Math” (in the WNCP document) can be found in MMS. After checking out the “Processes of Math” in the Introduction to the WNCP, look back again in the MMS resources. What can you find that applies to the processes shown on the right? Encourage students to find examples as well! As seen on zapple.ca (Ray Appel) 14. Support students as you would in Language Arts. Think of all the strategies you would use to support students to read in other subject areas: •activating prior knowledge •clarifying •buddy readers •inferring •predicting •key words •skimming/scanning •rereading •think aloud •visualizing •...and so on. Use these strategies in math as well as you support students to read. Make good use of the Illustrated Glossary at the back of the Math Makes Sense text. As well, you can go to the site shown below. It has amazing graphics, applets, and ideas! It’s very interactive too! As seen on zapple.ca (Ray Appel)
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