Math Methods || A+ Graded.
Influences on Mathematics Education correct answers Science, Math and Technology
Learner Influences
Curriculum guided by standards
Teacher influences
21st century skills correct answers Process information, make decisions, think mathematically,
solve problems, communicate, collaborate
Common Core State Standards correct answers 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 answers -
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 answers reasoning and argumentation, critical
thinking, innovation
Multi-representational approach to representing mathematical ideas correct answers written
symbols, spoken language, concrete objects
basic understanding of the nature of mathematics is needed for correct answers scientific literacy,
the language of mathematics
What is the great equalizer in the success of all children in learning mathematics? correct
answers 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 answers 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 answers Five
NCTM Principles for school mathematics correct answers Equity, Curriculum, Teaching,
Learning, Assessment, Technology
Equity Principle correct answers High expectations and strong support for all students
, Curriculum Principle correct answers Must be coherent, focused on important mathematics, and
well articulated across the grades.
Teaching Principle correct answers 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 answers Students must learn mathematics with understanding,
actively building new knowledge from experience and prior knowledge.
Assessment Principle correct answers Assessment should support the learning of important
mathematics and furnish useful information to both teachers and students.
Technology Principle correct answers Technology is essential in teaching and learning
mathematics; it influences the mathematics that is taught and enhances students' learning.
Process Standards correct answers Problem Solving
Reasoning and Proof
Communication
Connections
Representations
Problem Solving correct answers -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 answers -Recognize reasoning and proof as fundamental aspects of
mathematics.
-Make and investigate mathematical conjectures.
-Develop and evaluate mathematical arguments and proofs.
-Select and use various types of reasoning and methods of proof.
Communication correct answers -Organize and consolidate mathematical thinking through
communication.
-Communicate mathematical thinking coherently and clearly to peers, teachers, and others.
-Analyze and evaluate the mathematical thinking and strategies of others.
-Use the language of mathematics to express mathematical ideas precisely.
Connections correct answers -Recognize and use connections among mathematical ideas.
-Understand how mathematical ideas interconnect and build on one another to produce a
coherent whole.
-Recognize and apply mathematics in contexts outside of mathematics.
Representations correct answers Create and use representations to organize, record, and
communicate mathematical ideas.
Select, apply, and translate among mathematical representations to solve problems.
Influences on Mathematics Education correct answers Science, Math and Technology
Learner Influences
Curriculum guided by standards
Teacher influences
21st century skills correct answers Process information, make decisions, think mathematically,
solve problems, communicate, collaborate
Common Core State Standards correct answers 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 answers -
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 answers reasoning and argumentation, critical
thinking, innovation
Multi-representational approach to representing mathematical ideas correct answers written
symbols, spoken language, concrete objects
basic understanding of the nature of mathematics is needed for correct answers scientific literacy,
the language of mathematics
What is the great equalizer in the success of all children in learning mathematics? correct
answers 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 answers 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 answers Five
NCTM Principles for school mathematics correct answers Equity, Curriculum, Teaching,
Learning, Assessment, Technology
Equity Principle correct answers High expectations and strong support for all students
, Curriculum Principle correct answers Must be coherent, focused on important mathematics, and
well articulated across the grades.
Teaching Principle correct answers 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 answers Students must learn mathematics with understanding,
actively building new knowledge from experience and prior knowledge.
Assessment Principle correct answers Assessment should support the learning of important
mathematics and furnish useful information to both teachers and students.
Technology Principle correct answers Technology is essential in teaching and learning
mathematics; it influences the mathematics that is taught and enhances students' learning.
Process Standards correct answers Problem Solving
Reasoning and Proof
Communication
Connections
Representations
Problem Solving correct answers -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 answers -Recognize reasoning and proof as fundamental aspects of
mathematics.
-Make and investigate mathematical conjectures.
-Develop and evaluate mathematical arguments and proofs.
-Select and use various types of reasoning and methods of proof.
Communication correct answers -Organize and consolidate mathematical thinking through
communication.
-Communicate mathematical thinking coherently and clearly to peers, teachers, and others.
-Analyze and evaluate the mathematical thinking and strategies of others.
-Use the language of mathematics to express mathematical ideas precisely.
Connections correct answers -Recognize and use connections among mathematical ideas.
-Understand how mathematical ideas interconnect and build on one another to produce a
coherent whole.
-Recognize and apply mathematics in contexts outside of mathematics.
Representations correct answers Create and use representations to organize, record, and
communicate mathematical ideas.
Select, apply, and translate among mathematical representations to solve problems.
