Chapter 2 & 7 Quiz

 What are the five strands of mathematical proficiency?

Answer explanation

Conceptual understanding: is the understanding of mathematical concepts, operations, and relations.

Strategic competence: ability to formulate, represent, and solve mathematics problems.

Adaptive reasoning: capacity for logical thought, reflection, explanation, and justification.

Procedural fluency: a skill in carrying out procedure’s flexibility, accurately, efficiently, and appropriately.

Productive disposition: habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own efficacy.

Tags

CCSS.1.OA.A.1

What are the three components of Procedural Fluency?

Answer explanation

Procedural fluency is built on the foundation of conceptual understanding. Procedural fluency includes three components: (1) efficiency, (2) flexibility, and (3) accuracy. Both efficiency and flexibility require appropriate strategy selection. Additionally, connected with procedural fluency is knowing ways to check for reasonableness, including estimating at the beginning of the problem and looking back to see whether the answer is close to that estimate.

Tags

CCSS.7.NS.A.2C

What strand of mathematical proficiency consists of having connected knowledge: “mental connections among mathematical facts, procedures, and ideas?”

• Relational Understanding

• Strategic Competence

• Conceptual Understanding

• Procedural Fluency

Answer explanation

In other words, conceptual understanding is a flexible web of connections and relationships within and between ideas, interpretations, and images of mathematical concepts—a relational understanding.

Tags

CCSS.1.OA.A.1

What strand of mathematical proficiency is the "capacity to think logically about the relationships among concepts and situations?"

• Productive Disposition

• Procedural Fluency

• Adaptive Reasoning

• Conceptual Understanding

Answer explanation

It includes careful consideration at the beginning of solving a problem of a variety of solution approaches, the readiness to switch out for a new strategy in the middle of working problems if one isn’t fruitful, and being able to justify the solution at the end of solving a problem.

Tags

CCSS.8.EE.C.7B

What stand of mathematical proficiency is called the "problem solving" strand?

• Strategic Competence

• Procedural Fluency

• Productive Disposition

• Conceptual Understanding

Answer explanation

Strategic competence includes reading a story problem or encountering a mathematical situation and figuring out what the problem is as well as determining a method for solving it. As part of strategic competence, students can create useful representations to help them reason about the problem.

What strand of mathematical proficiency is a "favorable attitude about being able to do mathematics?"

• Productive Disposition

• Adaptive Reasoning

• Conceptual Understanding

• Procedural Fluency

Answer explanation

A student with a productive disposition tries to make sense of mathematics and believes that putting effort into learning mathematics is what is needed to be successful.

Manipulatives are physical objects that students and teachers can use to illustrate and discover mathematical concepts, whether made specifically for mathematics. Now given this information choose what you believe could be a math manipulative.

• Connecting Cubes

• Dominos

• Buttons

• Pattern Blocks

Answer explanation

Each choice can be used as a math manipulative being used to count, distinguish shapes, as well as number recognition just to name some uses for the manipulatives named.

Name the Learning Progression for Early Numeracy Steps.

Answer explanation

Can identify a unit, reads numbers- Knows principles of counting, including subitizing.

Reads Numbers- Writes numbers and recognizes that written numbers are symbols for number quantities, including zero.

Constructs sets of objects given a number- Classifies and reclassifies groups of objects/sets according to one attribute.

Approximates number magnitude—positioning numbers on number line (after working with number lines)- Composes and decomposes numbers.

Works with ten as a unit- Counts to solve simple problems, using concrete objects or modeling with role playing.

Tags

CCSS.2.MD.B.6

What is considered to be a “good intuition about numbers and their relationships?

• Number Organization

• Number Medley

• Counting On

• Number Sense

Answer explanation

When a child understands number sense, they are able to think about numbers flexibly and represent numbers with concrete materials and symbols.

Are graphing activities are good ways to connect young children’s worlds with number and relationships?

• Yes

• No

Answer explanation

Yes, because graphs can be quickly made from any data gathered, such as favorites (ice cream flavors, sports teams, pets), number of sisters and brothers, and transportation modes to school.