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• Teaching


  The act of imparting knowledge or skills to another
• Deductive Method


  Begins with what is general and proceed to what is specific
• Inductive Method


  Begins with what is known to the learners and ends with what is abstract
• Teaching Method


  The systematic way of doing something. It implies an orderly logical arrangement of steps
• Teaching Technique


  The teacher's style or tricks to accomplish an immediate objective
• The Mariam Webster Dictionary (2016) defines teaching as the act of imparting or providing knowledge or skills to another
• Teaching Method


  The procedure or way of teaching especially in accordance with a defined plan
• The two main teaching methods

  • Deductive method
  • Inductive method
• Factors in choosing a teaching method

  • Instructional Objective
  • The Nature of the Subject Matter
  • The Learners
  • The Teacher
  • School Policies
• The Five Stages of Teaching and Learning Mathematics

  • Knowledge (facts, vocabulary, and formulas)
  • Understanding (the ability to explain why math works)
  • Proficiency of Skills (mastery)
  • Application (problem solving and relevance in math)
  • Retention (remembering math over time)
• Understanding is the one stage that positively impacts the other four stages of the Five Stages of Teaching and Learning Mathematics
• Cooperative Learning Structures (CLS)

  An instructional strategy in which small groups of students work together on a common task. Groups work face to face and learn to work as a team. Students sharing resources to ensure everyone succeeds.
• Cooperative Learning Structures


  • Students feel responsible for their own and the group's effort
  • Students encourage and support one another. The environment encourages discussion and eye contact.
  • Each student is responsible for doing their part
  • The group is accountable for meeting its goals
  • Group members gain direct instruction in the interpersonal, social and collaborative skills needed to work with others
• Cooperative Learning Structures are also called SMALL-GROUP LEARNING
• David & Roger Johnson

  • Are brothers who are managing to work cooperatively as faculty at the College of Education
  • Co-Director of Cooperative Learning Structures
  • Professor of Educational Psychology at the University of Minnesota
• Numbered Heads Together


  Each student in the group is numbered from 1 to 4. Students put their heads together, do the given activity or task and ensure the whole group completes the task or activity.
• "I hear and I forget. I see and I remember. I do and I understand." -Confucius
• Math fear


  • Parents responsible
  • Teachers responsible
  • Lack of practice responsible
• Round Robin


  This structure has each group member stand and share with the group. When they're done they will sit and the next student will stand up and talk about the topic.
• Dull teaching causes most people to shy away from math
• Understanding how children learn best is an important step towards improving math learning
• Think Pair Share (Partners)

  Students share or discuss with one other student. It is important to give them time so students are ready to share their opinion or ideas.
• By providing conducive atmosphere
• What you need to do first

  • Recognize you have an aversion to math
  • Make a conscious decision to do something about it
  • Give yourself a regular math workout, however small to start with
• Timed Pair Share


  Similar to Think Pair Share, but this structure has a timer for how long the students have to discuss their topic.
• Corners


  A great structure to use for review or opinion type questions. You can use the 4 corners of your classroom.
• You'll find it all gets easier, and you'll soon enjoy math once again
• Children's developmental characteristics


  • Physical
  • Social
  • Emotional
  • Cognitive
• Jigsaw


  This structure is used for a group project or class research.
• Rally Coach


  Students work in partners, one student is the 'coach' and the other student does the math problems.
• Stand Up, Hand up, Pair Up

  Similar to partners, but this allows the students to get up and find a partner in the room.
• Teaching math is about providing an atmosphere of playful engagement with mathematical problems, where students feel confident in failing, in order to try again; a place where students become transformed by exercising their own mathematical powers of reasoning
• Children's physical, social, emotional and cognitive developmental characteristics give evidence of their innate interest and ability to learn mathematics and these must come together in designing an engaging and encouraging mathematics learning environment
• Round Table


  Used for group writing or brainstorming. Students pass around paper and everyone writes on it.
• Cooperative Graffiti


  Can also be used for brainstorming or review. After organizing ideas, the teacher can call on a number to share ideas to the whole class.
• Classroom Management Techniques

  • Entry Routine
  • Do Now
  • Tight Transition
  • Seat Signals
  • Props
  • Non-Verbal Intervention
  • Positive Group Correction
  • Do it again
• Student Roles

  • Organizer
  • Recorder
  • Checker
  • Team Facilitators
  • Spokesperson