day 1
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Day 1. Welcome! It became a great day when you joined us!. Please draw a card to find your team and take a handout. Strategies Used to Promote Student Discourse and Engagement in Math Classrooms. Introductions. - PowerPoint PPT PresentationTRANSCRIPT
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Day 1
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Welcome!It became a great day when you joined us!Please draw a card to find your team and take a handout.
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Strategies Used to Promote Student
Discourse and Engagement in
Math Classrooms
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IntroductionsGoal of these two days is to have participants be actively involved using strategies to talk about mathematics and also use brain research to see how to enhance your math class.
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Eric Jensenauthor of Teaching with
the Brain in MindSays “Purposeful Teaching Uses Energizers That Raise Heart Rate and Memory Chemicals.” The faster your heart rate, the more memory chemicals are formed.
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Think of your favorite relaxing chair…
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Team Roles
Clubs –Facilitator
Diamonds-Recorder/Reporter
Hearts -Resource Manager
Spades –Task Manager
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JigsawLet’s learn About the team roles.
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Icebreaker
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Proximity Partner
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Dyad
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Dyad
What do you hope to get out of these two days?
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Give One, Get One
Let’s talk about norms in a student-
centered Classroom.
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Red Light, Green Light
We are going to do this as a Dragon’s Tail.
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Walk and Talk
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Walk and Talkthat you have about what we have been doing.
Share some ideas and thoughts
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Jigsaw
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Laws ofexponents
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Teammates Consult
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40 Holes of GolfThe Hookenslice Corporation is having its annual charity fundraising event. In order to encourage donors to attend, the Hookenslice organizes a fun game called “40 Holes of Golf” and gives away prizes. Each team plays 40 holes of golf. There is a prize for the team that is consistently closest to the hole.
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40 Holes of GolfYour teacher has set up a “hole.” Your team will “swing” 40 pennies toward the “hole.” You will then represent your data on a graph and with numerical statistics, decide which team
was the most consistently close to the hole.
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40 Holes of GolfYour Task: Your teacher will give you ten pennies. Have one team member stand 200 cm from the “hole.” That team member will toss all ten pennies, one at a time. No “do-overs” and no practice shots are allowed. Then record the distance from the center of each penny to the “hole” (to the nearest centimeter), even if the penny rolled far away. Repeat with different team members until 40 pennies have been tossed. Do not take turns each tossing one a penny at a time—each team member should toss all ten of their pennies in one turn.
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40 Holes of GolfDecide how you want to represent your data on your poster: dot plot, box plot, circle graph (“pie chart”), scatter plot, histogram, or bar graph. Create a poster. Leave room for the task below. Decide the five most important facts you wish to report about your team’s golf shots and add them to your poster. Your teacher will direct you on how to compare your team’s results with the other teams. Which team was most consistently close to the hole?
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Traveling Salesman
Kinesthetic Math works 3X better:
Use Gestures In the study, 90% of students
who had learned algebraic concepts using gestures remembered them 3 weeks later vs. 33% of speech only students. And 90% of students who had learned by gestures only with no speech at all recalled what they had been taught. (Cook, SW, et al, 2007)
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Make sure that you say Welcome Back to your
team members.
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Make sure that you say Welcome Back to your
team members.
Changing teams-pack up
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Hot Potato
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Math Chat
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No Screen Shots Allowed!
You are emailing a friend the directions s/he will need to draw a specific diagram that must exactly match the shape (and size) of the one you have.Write a clear set of directions using words only. Your partner must draw the picture based on your directions. S/he may not use any tools such as a compass, ruler, protractor or straight-edge. Use precise mathematical vocabulary to ensure her/his diagram will match yours.
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ReflectionPrompt: Write down three things you learned today.
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From Eric Jensen
Mind-Body Connection“Activity not only fosters survival of our species, but it serves as a strategy for learning, emotional regulation, affiliation, resource acquisition and stress management.”
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Treasure Hunt
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Treasure HuntToday your teacher will give you several descriptive clues about different relations. For each clue, work with your team (or a partner) to find all the possible matches among the relations posted around the classroom. Remember that more than one relation may match each clue. Once you have decided which relation(s) match a given clue, defend your decision to your teacher and receive the next clue. Be sure to record your matches on paper.
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Treasure HuntYour goal is to find the match (or more than one match) for each of eight clues. Once you and your team (or partner) have finished, only one relation will be left unmatched. That relation is the treasure!
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Silent Debate
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Silent Debate Topic
Proof is an important topic to teach.
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Silent Debate Topic
Substitution is the best method for solving a system of equations.
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Reciprocal Teaching
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ClosureFeedback form
One more activityBefore we go….
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Exit SlipSomething you learned today…Something you would like to learn about….
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Proximity Partner
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Day 2
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Welcome!It’s a great day to learn!
Please draw a card to find your team.
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Team RolesShape A is the FacilitatorShape B is the Recorder/ReporterShape C is the Resource ManagerShape D is the Task Manager
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Silent ShapesNo TalkingNo TakingNo GesturesEach person must make a square
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The hard work involved in teambuilding is worth it and
pays many benefits, including:Social support for learning mathSuccess for more studentsOpportunities to see and discuss multiple approachesMore meaningful learning by discussing and explainingBetter mastery of basic skillsGreater mathematical exploration and creativity
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Research shows that collaborative problem solving in the math
classroom leads to: Higher achievement Increased retention Greater use of higher-level
reasoning Greater intrinsic
motivation More positive
heterogeneous relationships
Higher self esteem More on-task behavior Better attitudes toward
teachers and school Greater social support More positive
psychological adjustment Greater collaborative skills
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Laser lights
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YOU ARE GETTING SLEEPY Legend has it that if you stare into a person’s eyes in a special way, you can hypnotize them into squawking like a chicken. Here’s how it works.
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Place a mirror on the floor. Your victim has to stand exactly 200 cm away from the mirror and stare into it. The only tricky part is that you need to figure out where you have to stand so that when you stare into the mirror, you are also staring into your victim’s eyes.
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If your calculations are correct and you stand at the exact distance, your victim will squawk like a chicken!
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Think-Ink-Pair-ShareThink about the
scenario and then draw
a picture of what you think it would
look like.
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Place a mirror on the floor. Your victim has to stand exactly 200 cm away from the mirror and stare into it. The only tricky part is that you need to figure out where you have to stand so that when you stare into the mirror, you are also staring into your victim’s eyes.
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YOU ARE GETTING SLEEPY
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Your TaskAre there similar triangles in your diagram? Justify your conclusion. (Hint: Remember what you know about how light reflects off mirrors.) Then calculate how far you will need to stand from the mirror to hypnotize your victim.
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Your TaskNow for the moment of truth! Have your teammate stand 200 cm away from the mirror, while you stand at your calculated distance from the mirror. Do you make eye contact? If not, check your measurements and calculations and try again.
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Algebra Walk
Please memorize the following 9 symbols. No writing. You will be allowed 1 minute.
There will be a quiz!
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a: b: c: d:
e: f: g: h: i:
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What is this word?
Will this help you to remember the letters/symbols?
a b cd
e fg
h i
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“Mathematics makes more sense and is easier to remember and to apply when students connect new knowledge to existing knowledge in meaningful ways.”
Principles and Standards for School Mathematics, 2000
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Participation Quiz
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The Big Race
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The Big RaceToday is the final event of “The Big Race”! Your teacher will give you each a card that describes how you travel in the race. You and your study team will compete against the heat 1 and 2 winners, Leslie and Elizabeth, at today’s rally in the gym. Unfortunately, Mark, the winner of heat 3, is absent from school and will not be participating against you.
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The Big Raceo Your study team must work cooperatively to solve the
problems. No team member has enough information to solve the puzzle alone!
o Each member of the team will select rider A, B, C, or D. You may not show your card to your team. You may only communicate the information contained on the card.
o Assume that each racer travels at a constant rate throughout the race.
o Elizabeth’s and Leslie’s cards will be shared by the entire team.
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The Big RaceYour Task: As a team, do the following:Draw a graph (on graph paper) showing all of the racers’ progress over time. Identify the independent and dependent variables.Write an equation for each participant.Figure out who will win the race!
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Use your results from “The Big Race – Finals ” to answer the following questions. You may answer the questions in any order, but be sure to justify each response. a. Who won the finals of The Big Race?
Who came in last place? How do you know?
b. How fast was Rider D traveling? How fast was Elizabeth traveling?
c. At one point in the race, four different participants were the same distance from the starting line. What was that distance? Who were they and when did this happen?
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Proximity Partner
Walk around until the music stops and then find a partner near you that you have not worked with.Introduce yourself and await directions.
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ReflectionSummarize what you have learned so far and what questions you still have.
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Reciprocal Teaching
Person A:Tell your partner about similar shapes and corresponding sides and angles.
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Reciprocal Teaching
Person A:Tell your partner about similar shapes and corresponding sides and angles.
Person B:Tell your partner how you solve for missing sides of similar shapes.
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Process promoting Team work assessing Math Understanding addressing Status Issues enhancing/encouraging
Communication highlighting the Mathematical
Practices
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Pairs Check
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Teammates Consult
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Listening Post
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PolygoniaThe beautiful young princess of Polygonia is very sad. A mean ogre has locked her into a tower of a castle. She could escape through the window, but it is 50 feet above the ground, a long distance to jump! A moat full of alligators surrounds the tower. Naturally, Prince Charming wants to rescue her.
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PolygoniaThe prince has some rope. His plan is to use an arrow to shoot one end of the rope up to her window. The princess can then slide down the rope to the other side of the moat, and off they will ride into the sunset.
The Power of Context and Exercise
Move students around.
Let them encounter the same content in different contexts.
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Icebreaker: Compromise
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Hot Seat
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Growing, Growing, Growing
Patterns are everywhere! You may have noticed them in pinecones, flowers, stacks of cans in the grocery store, or many other places. Patterns are interesting partly because of the different ways that you can see how the parts of a pattern are changing. In this course, you will often look for different ways of seeing a pattern or concept. As you study the pattern in this lesson, work with your team to find several ways to see and describe the pattern and how it is growing. The following questions can help guide your discussion.
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Growing, Growing, Growing
How can we describe the pattern? Is there another way to see or describe it? Does anyone see it differently?
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Swapmeet
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ReflectionDescribe how an effective team looks and sounds.
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Win-a-RowFishbowl
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Elevator Talk
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Human Graphs
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More brain talk…“Brain research confirms that physical activity—moving, stretching, walking—can actually enhance the learning process,” Jensen says.
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Cross-lateral movements
It’s also important to build cross-lateral exercises into your day. Cross-lateral movements are those in which arms and legs cross over from one side of the body to the other. The left side of the brain controls the right side of the body, and the right side of the brain controls the left side. Both sides are forced to communicate when arms and legs cross over. This “unsticks” the brain and energizes learning.
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Cross the Midline
Stand with arms at sides. Touch right hand to left knee. Stand with arms at sides and touch left hand to right knee. Count or sing as you do this.Elbow Tap
Stand with arms at sides. Bend and touch right elbow to left knee as you raise your leg. Stand and then touch left elbow to right knee.Windmills
Feet spread apart and arms extended. Bend over at waist and tap right hand to left foot. Back up and then bend and tap left hand to right foot.Backwards
Bend left knee and put foot behind right leg. Reach back around with right hand and touch left foot. Reverse and put right foot behind your left leg as you touch it with your left hand.
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Hand Jive - Here is a pattern you can do with your hands. Slap hands on thighs twice. Clap hands twice. Shuffle right palm over left twice. Shuffle left palm over right twice. Make fists with fingers and thump right fist on top of left fist twice. Then thump left fist on top of right fist twice. Stick out thumb on right hand and move over right shoulder as if hitchhiking. Stick out thumb on left hand and hitchhike behind left shoulder. Continue repeating this pattern. (There are many variations, or you can make up your own.)
The end of this talk, but hopefully not the end
of your interest in brain based learning.
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How our brains really learn
There is no one single way we process all types of information.
Context and the learner‘s own background are huge variables.
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Let’s try an experiment Next slide has a list of simple words Leave your pen/pencil down-no note
taking, please. Look over the words for 30 secs. Try
to store them in your brain. You’ll learn something new about
how your memory works.
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snooze snoreslumber siestasoundly dozenightlight rest nap bedyawn dream
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Think Ink Pair ShareWithout talking, make a list of all the words that you remember from the list.Turn to a partner and compare lists.Share at your table.
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snooze snoreslumber siestasoundly dozenightlight rest nap bedyawn dream
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Yoga + Physical Education HOW COME WE DIDN’T THINK OF THIS
BEFORE?!
Easy...it’s different, unknown, has challenges Why we need to consider & implement this as a part of quality, standards-based PE: Positive effect on student concentration & stress (Angus, 1989; Hopkins, 1979) Improved behavior, self-esteem, academic focus, & fitness (Slovacek, Tucker, & Pantoja, 2003) Reductions in aggression, helplessness Increases in static balance & stress-coping (Stueck & Gloeckner, 2005)Yoga is a lifetime physical activity that provides both desired physical & mental benefits
The Montillation of Traxoline
It is very important that you learn about traxoline Traxoline is a new form of zionter. It is montilled in Ceristanna. The Ceristannians gristeriate large amounts of fevon and then bracter it to quasel traxoline. Traxoline may well be one of our most lukized snezlaus in the future because of our zionter lescelidge. (from Judy Lanier)
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