What is Number & Operations, Algebra, Geometry, Measure, Data Analysis & Probability
100
Name 3 problem solving strategies.
What is (any 3 of the following) work backwards, act out, guess & check, draw pictures, identify patterns
100
What are 2 (of many) teacher strategies to remember and use to use manipulatives effectively in the classroom?
What is know how to pass them out and collect them without distraction to the lesson, have tools prepared ahead of time for the number needed in the lesson, allow students time to explore with new tools, use appropriate tool for the math skill presented.
100
Tyler has 5 stickers. Tommi has 6 more than Tyler. How many more stickers does Tommi have?
What is the problem type used in this problem?
What is compare - quantity unknown.
100
Describe one alternative assessment and describe its benefit.
What is accurate answer determined by instructor.
200
What are the 3 elements to a Professional Knowledge Base?
What is knowledge of children, content and pedagogy
200
What should teachers do to foster communication in math?
What is create a safe environment to share thoughts, ask probing and prompting questions, encourage writing as well as oral communication.
200
Young children move through 3 developmental phases in math they are 1. Emergent 2. ? 3. ?
What is mathching and quantifying.
200
Becky had 7 lollipops and she gave 3 away to friends. How many lollipops does Becky have left?
What problem type is this an example of?
What is seperate (result unknown)
200
What is the difference between formative and summative feedback?
What is formative assessments are used to inform teachers and are usually informal. Teachers use this to make decisions about their instruction. Summative assessments, are administered toward the end of learning.
300
What is the anticipatory set in a lesson plan?
What is the part of the lesson that "hooks" your students, engages them and prepares them for your lesson.
300
What are the 5 processes of "doing math"? (hint: the tree diagram)
What is communication, reason & proof, problem solving, representation, connections.
300
Explain the idea of conservation.
What is the understanding that no matter how the objects are arranged or counted, there is always the same amount.
300
What types of counting strategies are there? (name 2)
What is counting on, counting on to, counting down, seperating from, and matching.
300
Explain the process of backward design. (hint: key assessment #5)
What is 1. set general goals
2. Preinstruction assessment
3. Determine specific learning targets--obj. for each lesson.
4. Determine evidence of learning--how will you assess children after each lesson.
5. Design an instructional plan.
6. Conduct ongoing assessment.
7. Postinstruction assessment.
400
What is the relationship between your objective and assessment in your lesson plan?
What is the must match up! Your objective states what you want your students to learn during your lesson and your assessment finds out whether or not they learned it.
400
Explain the difference between content and process standards.
What is content standards are essentially the mathematics one "knows" as compared to the process mathematics one is "doing".
400
Describe the difference between rote counting and one-to-one coorespondence.
What is rote counting is the recitation of numbers but doesn't indicate an understanding of numbers found in the emergent phase. One-to-one correspondence is found in the matching phase in which children learn to keep track of objects.
400
When children use direct modeling, what kind of strategy would you look for them to use?
What is joining all, joining to, trial and error, seperating from, or matching.
400
There are 4 problem types, name them.
What is join, seperate, part-part-whole, and compare.
500
Manipulatives provide ____________________ experiences until children move into ____________ thinking.
What is concrete to abstract.
500
There are 5 ways to represent thinking, name 3 of them.
What is (3 of the following) manipulate models, static pictures, written symbols, spoken & written language, real-world situations/contexts.
500
Choose a manipulative tool and explain how you would use it to teach a particular math concept.
What is accurate answer will be assessed by instructor.
500
When conducting an interview, if a child shows success on a problem, how would you challenge them a bit more on the next problem?
What is increase the numbers used in the current problem, or move them to a new strategy.
500
When children develop problem solving strategies they go through a developmental process. They begin with direct modeling with manipulatives, then progress to _____________ _____________, and then to ___________ _______________.