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The student will learn what educational research shows are good teaching practices.

What is Good Teaching?

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A vignette from “Animal House” with Donald Southerland as an English Professor.

Introduction

Discuss the teaching activity shown.

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Effective teachers are those who can stimulate students to learn mathematics. Education research offers compelling evidence that students learn mathematics well only when they construct their own mathematical understanding.

Something to Think About.

continued

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To understand what they learn, they must enact for themselves verbs that permeate the mathematics curriculum: “examine,” “represent,” “transform,” “solve,” “apply,” “prove,” “communicate.” This happens most readily when students work in groups, engage in discussion, make presentations, and in other ways take charge of their own learning.

Everybody Counts (National Research Council 1989, pp. 58-59)

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The NCTM Teaching Principle will be covered in MAT355 in the next few days.

NCTM Teaching Principle

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NCTM Learning Principle

The NCTM Learning Principle will be covered in MAT355 in the next few days.

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Chapter One

Motivation through classroom routine.

“Motivation Counts”Dave Johnson

Mr. Johnson’s background and foundations for the text.

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Traditional Classroom Routine

What are some of the characteristics of a traditional classroom routine? Work in pairs and come up with at least 5.

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Traditional Classroom Routine• Take roll, • Take roll,

• hand back previous work,

• Take roll,

• hand back previous work,

• read the answers to homework,

• Take roll,

• hand back previous work,

• read the answers to homework,

• ask if there are any questions,

• Take roll,

• hand back previous work,

• read the answers to homework,

• ask if there are any questions,

• introduce a new topic,

• Take roll,

• hand back previous work,

• read the answers to homework,

• ask if there are any questions,

• introduce a new topic,

• show several examples,

• Take roll,

• hand back previous work,

• read the answers to homework,

• ask if there are any questions,

• introduce a new topic,

• show several examples,

• give an assignment,

• Take roll,

• hand back previous work,

• read the answers to homework,

• ask if there are any questions,

• introduce a new topic,

• show several examples,

• give an assignment,

• wait for the bell to ring. continued

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What did not work?

Traditional Classroom Routine

How many of you were taught in this manner?

Was it effective?

What worked?

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• When lectured to, students have no chance to think for themselves or try out ideas.

Traditional Classroom Routine

Understanding how students feel from page 6.

• When they don’t understand they believe they can’t understand.• They are scared to be wrong – so they don’t feel safe in our classrooms.

• They believe mathematics is nothing but manipulation of meaningless symbols.

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• Not using rote memory as a primary tool.

Research Findings that Learning Improves when students are:

• active in the learning process;

• provided with constant feedback;• work together;• challenged;• interested in the material;

• shown unusual teaching techniques;

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Hence we need a new classroom routine!

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New Classroom Routine

What are some of the characteristics of a “new classroom routine”? Work in pairs and come up with at least 5.

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A New Classroom Routine

• TBWA – Teach by walking around.

• Classroom designed for student learning. • Have a desk-top code. • Have a meaningful opening activity. • Lesson centers on student activities. • Appeal to student interest.

continued

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A New Classroom Routine

• Use manipulatives and technology. • End with a strong closing activity. • Make homework a part of each lesson.

• Pay special attention to questioning methods. • Have students work cooperatively.

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Be Consistent

• Assign homework. Know who does it and give penalties for not attempting homework.

• Determining during class if students are learning. Modify class if they are not.

• Make it possible for students to ask and respond to questions without fear of being wrong or being embarrassed.

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Be Inconsistent• Vary class openings and closings and the order of activities in between.

• Vary problem types and interject unusual problems to spark interest.

• Students should work alone, in pairs, in groups. Students should work at their desks and at the board. Students should sometime use a computer, calculator, pencil, and sometime none of the above. Students should be willing to communicate daily in writing, orally and with drawings, sketches or model building.

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Distribute handout and cover the content. Students should read “Lessons not Lectures”.

Lessons not Lectures

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Background Needed for Effective Teaching

Mathematics Courses

Education Courses

What math students should learn?

How can they best learn?

How do I know if they learn?

Psy/Soc Courses

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Dr. Anthony FrederickFive Roles of Good Teachers

• You as a Person– Good classroom teachers are joyful. They relish

the thrill of discovery. They are excited about learning. They are passionate.

– Good classroom teachers are inquisitive. They continuously ask questions.

– Good classroom teachers are creative. They are willing to explore new possibilities.

– Good classroom teachers are flexible. They have the ability to role with the punches and not let the little things get them down.

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Dr. Anthony Frederick Five Roles of Good Teachers

• Student Orientation– The best teachers are those who try care for their

students. They exhibit empathy and try to see the world through their students’ eyes.

– Good classroom teachers have positive attitudes and never embarrass or ridicule students.

– Good classroom teachers listen.– Good classroom teachers have high expectations

for their students. – Good classroom teachers increase student

engagement by incorporating students’ ideas.

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Dr. Anthony Frederick Five Roles of Good Teachers

• Task Orientation.– Good classroom teachers concentrate on the

instructional activities that cause learning to happen.

– Good classroom teachers handle administrative and clerical tasks without disrupting learning.

– Good classroom teachers present logical, clear lessons including review, practice and feed back.

– Good classroom teachers are in control of their classrooms.

– Good classroom teachers invite student activity by ask probing questions.

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Dr. Anthony Frederick Five Roles of Good Teachers

• Classroom Management– Good classroom teachers provide opportunities

for students to make decisions and follow through on those decisions.

– Good classroom teachers establish routines.– Good classroom teachers know that a quiet

classroom is not necessary for a productive classroom.

– Good classroom teachers establish expectations and consistently uphold these expectations throughout the school year.

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Dr. Anthony Frederick Five Roles of Good Teachers

• Lifelong Learners– Good classroom teachers are those who keep

learning, who continually add to their knowledge base..

– Good classroom teachers keep current, stay active, and continually seek out new answers or new questions for exploration.

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Assignment Read:

• Posamentier Chapter 2, pages 18-28 & 32-54.

• Johnson Appendix A.