ELED 471 Exam #1 Spring UPDATED ACTUAL Exam Questions
and CORRECT Answers
!@#$%%%%%
When was the term "back to the basics" coined? What did it imply? - (ANSWERS)The 1980s;
simple properties of addition, subtraction, multiplication and division. %%%%%%
When was the shift to 'thinking mathematically" and using "real word problems"? -
(ANSWERS)The 1990s; shifted to technology and global issues.
When was the shift to "all students having equal opportunity and support to learn significant
mathematics"? - (ANSWERS)The 2000s; principles and standards for school mathematics
introduced.
When did common core state standards come around? - (ANSWERS)2010.
How should we focus on teaching math? - (ANSWERS)Developmentally & using strength-based
approaches.
What are factors that influence Mathematics teaching? - (ANSWERS)The changing world
(Globalization & Digital World) and research.
Standards for mathematical practice show what _______ need to do. - (ANSWERS)Students.
Six guiding principles from principles to action show what _________ need to do. -
(ANSWERS)Teachers.
How many standards are there for mathematical practice? - (ANSWERS)8
How many guiding principles are there? - (ANSWERS)6
What is one shift in the classroom environment and what are we moving towards? -
(ANSWERS)We are shifting away from mere memorization of procedures and moving towards
mathematical reasoning.
We are shifting away from classrooms as collections of individuals and moving towards
classrooms as mathematics communities.
What are the 5 strands of mathematical proficiency? - (ANSWERS)1. Conceputal
understanding
2. Procedural fluency
3. Strategic Competence
4. Productive disposition
5. Adaptive reasoning
, ELED 471 Exam #1 Spring UPDATED ACTUAL Exam Questions
and CORRECT Answers
!@#$%%%%%
What does the 5 strands of mathematical proficiency resemble? - (ANSWERS)A pull apart
twizzler. %%%%%%
List the different types of word problems. - (ANSWERS)Join, Separate, Part-Part and compare.
Describe the different types of word problems. - (ANSWERS)Join: Elements are being added or
joined in a set (Starting amount, the change amount, and resulting amount)
Separate: Elements are being removed from a set (Starting amount, the change amount, and
resulting amount)
Part-part: These problems focus on the relationship between a set and its two subsets (Two
parts and the whole)
Compare: Involve comparisons between two different sets (Two wholes and the difference)
Describe conservation of a number. - (ANSWERS)The ability to conserve number quantities
arranged in different ways (Bead pile: one spread out vs. Pilled up, pennies: closer together vs
spread out). Piaget described this idea and students should have it by age 7.
Describe ordinal numbers. - (ANSWERS)Denote the order of a set
- Tells rank or position
- Order students by bday
Describe Nominal numbers. - (ANSWERS)Used to name objects or identify objects
- Do not show rank or quantity.
Describe cardinal numbers. - (ANSWERS)Designate the quantity of a set
- Tells "how many"
- Also known as the counting numbers
What grade are fractions introduced?
What grade do you stop teaching numbers and operations/fractions? - (ANSWERS)Introduced
in 3rd grade, stop in 6th grade. Fractions are learned in grades 3-6.
What is seriation? How is it used? - (ANSWERS)Being able to focus on an attribute and then
arranging or ordering a set of objects according to that attribute.
Describe the 5 strands of mathematical proficiency. - (ANSWERS)1. AR - capacity for logical
thought, reflection, explanation, and justification.
2. SC: ability to formulate, represent and solve mathematics problems
3. CU: comprehension of math concepts, operations and relations
4. PF: skill in carrying out procedures flexibly, accurately, efficiently, and appropriately (doing
the math)
and CORRECT Answers
!@#$%%%%%
When was the term "back to the basics" coined? What did it imply? - (ANSWERS)The 1980s;
simple properties of addition, subtraction, multiplication and division. %%%%%%
When was the shift to 'thinking mathematically" and using "real word problems"? -
(ANSWERS)The 1990s; shifted to technology and global issues.
When was the shift to "all students having equal opportunity and support to learn significant
mathematics"? - (ANSWERS)The 2000s; principles and standards for school mathematics
introduced.
When did common core state standards come around? - (ANSWERS)2010.
How should we focus on teaching math? - (ANSWERS)Developmentally & using strength-based
approaches.
What are factors that influence Mathematics teaching? - (ANSWERS)The changing world
(Globalization & Digital World) and research.
Standards for mathematical practice show what _______ need to do. - (ANSWERS)Students.
Six guiding principles from principles to action show what _________ need to do. -
(ANSWERS)Teachers.
How many standards are there for mathematical practice? - (ANSWERS)8
How many guiding principles are there? - (ANSWERS)6
What is one shift in the classroom environment and what are we moving towards? -
(ANSWERS)We are shifting away from mere memorization of procedures and moving towards
mathematical reasoning.
We are shifting away from classrooms as collections of individuals and moving towards
classrooms as mathematics communities.
What are the 5 strands of mathematical proficiency? - (ANSWERS)1. Conceputal
understanding
2. Procedural fluency
3. Strategic Competence
4. Productive disposition
5. Adaptive reasoning
, ELED 471 Exam #1 Spring UPDATED ACTUAL Exam Questions
and CORRECT Answers
!@#$%%%%%
What does the 5 strands of mathematical proficiency resemble? - (ANSWERS)A pull apart
twizzler. %%%%%%
List the different types of word problems. - (ANSWERS)Join, Separate, Part-Part and compare.
Describe the different types of word problems. - (ANSWERS)Join: Elements are being added or
joined in a set (Starting amount, the change amount, and resulting amount)
Separate: Elements are being removed from a set (Starting amount, the change amount, and
resulting amount)
Part-part: These problems focus on the relationship between a set and its two subsets (Two
parts and the whole)
Compare: Involve comparisons between two different sets (Two wholes and the difference)
Describe conservation of a number. - (ANSWERS)The ability to conserve number quantities
arranged in different ways (Bead pile: one spread out vs. Pilled up, pennies: closer together vs
spread out). Piaget described this idea and students should have it by age 7.
Describe ordinal numbers. - (ANSWERS)Denote the order of a set
- Tells rank or position
- Order students by bday
Describe Nominal numbers. - (ANSWERS)Used to name objects or identify objects
- Do not show rank or quantity.
Describe cardinal numbers. - (ANSWERS)Designate the quantity of a set
- Tells "how many"
- Also known as the counting numbers
What grade are fractions introduced?
What grade do you stop teaching numbers and operations/fractions? - (ANSWERS)Introduced
in 3rd grade, stop in 6th grade. Fractions are learned in grades 3-6.
What is seriation? How is it used? - (ANSWERS)Being able to focus on an attribute and then
arranging or ordering a set of objects according to that attribute.
Describe the 5 strands of mathematical proficiency. - (ANSWERS)1. AR - capacity for logical
thought, reflection, explanation, and justification.
2. SC: ability to formulate, represent and solve mathematics problems
3. CU: comprehension of math concepts, operations and relations
4. PF: skill in carrying out procedures flexibly, accurately, efficiently, and appropriately (doing
the math)
