Math Pedagogy
Problem Solving
Differentiated Instruction
Assessment
Teaching Principles
Differentiated Instruction Strategies
The Lesson Plan
100
A math teaching strategy that moves from the concrete to the representational, and then the abstract.   
What is CRA?
100

Teaching skills, then providing problems to practice those skills 

What is teaching FOR problem solving?
100

Three things to differentiate: the concepts, principles, and/or skills: adjustments in activities that help students make sense of, and come to own, the ideas and skills being taught ; and culminating projects that allow students to demonstrate and extend what they have learned. 

What is the content, process, and product?
100
A type of assessment that is on-going and used to inform practice.
What is formative assessment?
100

To make sense of the math, reason about and understand math concepts and ideas

What is conceptual understanding?
100

Provides teachers with a means of assigning different tasks within the same lesson or unit. The tasks may vary according to readiness, interest and learning style. 

What is tiered instruction?
100
A plan that is divided into an introduction, student work and class discussion.
What is a three part lesson plan?
200

A brief daily practice where students mentally solve computation problems and talk about their strategies, as a way to dramatically transform teaching and learning in the math classroom.

What is a Number Talk?
200

Teaching the process of problem solving (understand, design a strategy, implement, look back)

What is teaching ABOUT problem solving?
200

Students can be grouped based on readiness, interest, or learning profile. Groups don't necessarily have to be homogeneous and they are constantly changing.

What is flexible grouping?
200
A type of assessment that usually comes at the end of learning and is graded or reported.
What is summative assessment?
200

To know mathematical facts, compute and do the math in an accurate and efficient manner.

What is procedural fluency?
200

Can be organized so students need to finish one square before moving to the next, they can be random, or can be organized in a specific way. The level of difficulty of the activities can vary or stay consistent.

What is a choice board?
200
This is to remind students what they previously learned so that they can make connections and learn the new math for the day.
What is activating prior knowledge?
300
A place to hang math vocabulary cards where they can be taken down and re-taught through various activities and games.
What is a Word Wall?
300

Teaching content through real context, problems, situations, and models

What is teaching THROUGH problem solving?
300

A way to group students based on Howard Gardner's work. 

What is multiple Intelligence?
300
A kind of assessment where students respond to a prompt in writing, usually in a notebook.
What is a math journal?
300
Students' ability to persevere, as well as their confidence and belief in their own math abilities.
What is a positive math disposition?
300

This activity is based on multiple levels of learning domains from low to higher levels of thinking. Students consider a concept or activity from six different perspectives. 

What is cubing?
300
Questions that guide student thinking, stimulate thought, and provoke inquiry.
What is an essential question?
400
A systematic visual way of representing number relationships or a word problem.
What is a math model?
400
The name of the mathematician who created a four step problem solving strategy of understand the problem, devise a plan, carry out the plan, and look back.
Who is George Polya?
400

To differentiate the skill level and background knowledge of the child.

What is readiness?
400
A kind of assessment that uses a list of student names and math criteria. The objective is to determine who and what concept/skill each student understands.
What is a checklist?
400
Making sense in math, construct viable arguments, and critique others' thinking.
What is math reasoning?
400

This strategy involves setting up different spots in the classroom where students work on various or leveled tasks simultaneously. Teachers can place collections of materials where students can explore and/or practice skills .

What are learning centers?
400
A brief statement that describes what the students are expected to learn.
What is a lesson objective?
500
Systematic and detailed instruction for carrying out a math operation.
What is an algorithm?
500
A point where a teacher gives students challenging problems to immerse them in authentic engagement without overwhelming them.
What is a productive struggle?
500

A way to differentiate by adjusting modality(i.e., a visual, auditory, tactile, or kinesthetic learner), grouping preferences (i.e., individual, small group, or large group), and environmental preferences (i.e., lots of space or a quiet area to work)

What is learning profile?
500
A type of assessment that involves a teacher taking informal notes on a note pad or sticky about student learning.
What are anectodal notes?
500
The math knowledge and skills that students should learn in each grade.
What are math curriculum standards?
500

Alternate learning activities based on advanced content and individual student interest. This is a differentiated strategy designed for academically advanced students. 

What is curriculum compacting?
500

A discussion at the end of a lesson where the students review the learning.

What is a closure?
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