MATH METHODS REVIEW| QUESTIONS AND ANSWERS 2025
Influences on Mathematics Education -CORRECT ANSWER Science, Math
and Technology
Learner Influences
Curriculum guided by standards
Teacher influences
21st century skills -CORRECT ANSWER Process information, make
decisions, think mathematically, solve problems, communicate, collaborate
Common Core State Standards -CORRECT ANSWER describe the
mathematical content and practices that should be developed in all students.
Ms. Latimer is teaching her class about geometric shapes. They are working in
groups to describe patterns in the shapes of squares, rectangles, rhombuses and
trapezoids. They are writing down their findings and will report out to the class.
The students will be working to meet which of the following Common Core
Standards for Mathematical Practice? -CORRECT ANSWER -make sense of
problems and persevere in solving them
-look for and express regularity in repeated reasoning
The National Research Council has clarified the term "21st-century skills" by
identifying three domains of competence, including the Cognitive Domain.
Which of the following competencies are part of the Cognitive Domain? -
CORRECT ANSWER reasoning and argumentation, critical thinking,
innovation
Multi-representational approach to representing mathematical ideas -
CORRECT ANSWER written symbols, spoken language, concrete objects
,basic understanding of the nature of mathematics is needed for -CORRECT
ANSWER scientific literacy, the language of mathematics
What is the great equalizer in the success of all children in learning
mathematics? -CORRECT ANSWER Modifying instructional experiences to
best meet children's needs is the key factor.
What can teachers do to make learning mathematics more accessible to children
with special needs? -CORRECT ANSWER Pose meaningful problems in
familiar situations.
There are five content standards for School Mathematics in the NCTM
Standards. How many process standards are there? -CORRECT ANSWER
Five
NCTM Principles for school mathematics -CORRECT ANSWER Equity,
Curriculum, Teaching, Learning, Assessment, Technology
Equity Principle -CORRECT ANSWER High expectations and strong support
for all students
Curriculum Principle -CORRECT ANSWER Must be coherent, focused on
important mathematics, and well articulated across the grades.
Teaching Principle -CORRECT ANSWER Effective mathematics teaching
requires understanding what students know and need to learn and then
challenging and supporting them to learn it well.
, Learning Principle -CORRECT ANSWER Students must learn mathematics
with understanding, actively building new knowledge from experience and prior
knowledge.
Assessment Principle -CORRECT ANSWER Assessment should support the
learning of important mathematics and furnish useful information to both
teachers and students.
Technology Principle -CORRECT ANSWER Technology is essential in
teaching and learning mathematics; it influences the mathematics that is taught
and enhances students' learning.
Process Standards -CORRECT ANSWER Problem Solving
Reasoning and Proof
Communication
Connections
Representations
Problem Solving -CORRECT ANSWER -Build new mathematical knowledge
through problem solving.
-Solve problems that arise in mathematics and in other contexts.
-Apply and adapt a variety of appropriate strategies to solve problems.
-Monitor and reflect on the process of mathematical problem solving.
Reasoning and Proof -CORRECT ANSWER -Recognize reasoning and proof
as fundamental aspects of mathematics.
-Make and investigate mathematical conjectures.
-Develop and evaluate mathematical arguments and proofs.
Influences on Mathematics Education -CORRECT ANSWER Science, Math
and Technology
Learner Influences
Curriculum guided by standards
Teacher influences
21st century skills -CORRECT ANSWER Process information, make
decisions, think mathematically, solve problems, communicate, collaborate
Common Core State Standards -CORRECT ANSWER describe the
mathematical content and practices that should be developed in all students.
Ms. Latimer is teaching her class about geometric shapes. They are working in
groups to describe patterns in the shapes of squares, rectangles, rhombuses and
trapezoids. They are writing down their findings and will report out to the class.
The students will be working to meet which of the following Common Core
Standards for Mathematical Practice? -CORRECT ANSWER -make sense of
problems and persevere in solving them
-look for and express regularity in repeated reasoning
The National Research Council has clarified the term "21st-century skills" by
identifying three domains of competence, including the Cognitive Domain.
Which of the following competencies are part of the Cognitive Domain? -
CORRECT ANSWER reasoning and argumentation, critical thinking,
innovation
Multi-representational approach to representing mathematical ideas -
CORRECT ANSWER written symbols, spoken language, concrete objects
,basic understanding of the nature of mathematics is needed for -CORRECT
ANSWER scientific literacy, the language of mathematics
What is the great equalizer in the success of all children in learning
mathematics? -CORRECT ANSWER Modifying instructional experiences to
best meet children's needs is the key factor.
What can teachers do to make learning mathematics more accessible to children
with special needs? -CORRECT ANSWER Pose meaningful problems in
familiar situations.
There are five content standards for School Mathematics in the NCTM
Standards. How many process standards are there? -CORRECT ANSWER
Five
NCTM Principles for school mathematics -CORRECT ANSWER Equity,
Curriculum, Teaching, Learning, Assessment, Technology
Equity Principle -CORRECT ANSWER High expectations and strong support
for all students
Curriculum Principle -CORRECT ANSWER Must be coherent, focused on
important mathematics, and well articulated across the grades.
Teaching Principle -CORRECT ANSWER Effective mathematics teaching
requires understanding what students know and need to learn and then
challenging and supporting them to learn it well.
, Learning Principle -CORRECT ANSWER Students must learn mathematics
with understanding, actively building new knowledge from experience and prior
knowledge.
Assessment Principle -CORRECT ANSWER Assessment should support the
learning of important mathematics and furnish useful information to both
teachers and students.
Technology Principle -CORRECT ANSWER Technology is essential in
teaching and learning mathematics; it influences the mathematics that is taught
and enhances students' learning.
Process Standards -CORRECT ANSWER Problem Solving
Reasoning and Proof
Communication
Connections
Representations
Problem Solving -CORRECT ANSWER -Build new mathematical knowledge
through problem solving.
-Solve problems that arise in mathematics and in other contexts.
-Apply and adapt a variety of appropriate strategies to solve problems.
-Monitor and reflect on the process of mathematical problem solving.
Reasoning and Proof -CORRECT ANSWER -Recognize reasoning and proof
as fundamental aspects of mathematics.
-Make and investigate mathematical conjectures.
-Develop and evaluate mathematical arguments and proofs.
