As a teacher, every year I tried to convince my students that math was not magic but that you had to actively participate and put effort into it. The question is how do we get our student’s to take ownership and actively engage in their learning?
Our traditional model of teaching asked teachers to be the deliverer of the knowledge and students take a passive role. We give it to them. This model meets the needs of some of our students who may innately have the motivation and desire to learn. Student Centered instruction is a new approach to engage the learner.
My example is learning my new job and using GPS and directions. Teacher directed instruction vs. Student Centered instruction
The more practice you can provide for your students to justify the answers, the better they will understand.
As a team, look at an upcoming Investigations lesson with the student centered lens. What new learning or dots will they need to connect during the lesson? What connections can they make to pre-existing knowledge or dots?
Student centered mathematics
Student Centered InstructionLowell- October 3, 2012
What is Student Centered Instruction?• Learning is meaningful when topics are relevant to students’ lives and interests.• Thinking about student’s learning• Focus on how they learn, what they experience, and how they engage with their learning
What is Student Centered Instruction?Contd.• Students are actively engaged in constructing their own knowledge (discovery, inquiry, problem solving)• The student learns how to learn- what the student needs to achieve this.• Learner is viewed as a knowledge seeker with constantly changing learning needs.
The Look Fors… Teacher Centered Model Student Centered Model• Teacher gives information, • Cooperative/peer problem solving students receive (passive role) • Teacher as a facilitator/guide-asks questions, plants seeds to further• Students quiet. Appropriate the exploration time to talk would be when • Students exchanging ideas and called upon to answer a justifying their thinking through question. various forms (physical• Rote memorization, repetitive representations, visual practice of same types of representations, verbal) problems • Problems/Tasks are performance based; require construction of ideas• Teacher focused on activities • Teacher’s focus is on the level of and teacher plan (First we’re understanding and deepening the going to do this, next this- not understanding. a lot of thought into why…)
The Perfect Grid• http://www.youtube.com/watch?v=nyClxRb0KI A&feature=channel&list=ULPlease take Notes on the video clip analysisgraphic organizer at your table. Look for examplesof student centered instruction.
What did you see thatwere examples of studentcentered instruction?
Constructing Ideas• Read p. 2: Constructing Ideas (3 paragraphs)• Discuss with your group an example of your own new learning and how you developed understanding by constructing ideas.
What does it mean to UNDERSTAND?Knowledge- Understanding-You either have or don’t have. The measure of the quality of connections that an idea has with existing ideas.Example:Fractions- 6/8Know- Students may be able to label the numerator and denominatorUnderstand- Can they explain what the 6 and 8 tell us about the fraction?Know- They know that 6/8 can be reduced to 3/4Understand- Do they understand that 6/8 and ¾ are identical numbers?Some students will think that reducing the fraction made it smaller. Thosewith better understanding will be able to explain using a variety of models thatthey are the same quantities.Each student brings a different set of dots to his or her knowledge.Each “understands” in a different way.
According to Van De Walle et. al. (2010) inthe real world of problem solving there areno teachers with answers and no answerbooks – doing mathematics is about usingjustification as a means of determining ifan answer is correct.
Let’s Practice…1. Choose an upcoming lesson and usethe student centered lens to plan foryour students. • What do my students know • What is the new learning of that will be needed for this this lesson and what lesson? connections will students need to make to deepen their understanding?
Reflection: exit slipIs math all about knowing the rightanswer?Traditional model would say yes….Student Centered Instruction model would sayno….What do you say??Please explain your thinking…