Which choice reflects two factors that influence the teaching of
Mathematics effectively? ✔️Ans - Knowledge of standards and
practices.
The mathematical needs in society have changed and are influencing what
should be taught in pre K-8 mathematics classrooms. What statement
below reflects a key factor in the change? ✔️Ans - Data on
performance of U.S. students in national and international studies.
The National Assessment of Educational Progress... ✔️Ans - reported
in 2013 that less than half of all 4th and 8th graders performed on a
standardized mathematics test as the desirable levels of "proficient" or
"advanced".
The six Principles and Standards for School Mathematics articulate high-
quality mathematics education. What statement below represents the
equity principle? ✔️Ans - The message of high expectations for all is
intertwined with every other principle.
What is true about the learning principle? ✔️Ans - Learning is
strongly enhanced when students are encouraged to make and test their
own mathematical conjectures.
What statement reflects the Connections standard of the Five Process
Standards from Principles and Standards for School Mathematics?
✔️Ans - Students should be given opportunities to see how various
mathematical ideas relate to one another and to a variety of real-life
experiences.
One of the statements below represents a method for developing the
Reasoning and proof process standard. ✔️Ans - Create opportunities
for students to evaluate conjectures.
The following statements represent the "thinking" behind the creation of
the Common Core Standards for School Mathematics. Which statement is
, also true of the NCTM Principle and Standards for School Mathematics?
✔️Ans - A focused set of Mathematics content standards and practices.
The Standards for Mathematical Practice are... ✔️Ans - A component
of the Common Core State Standards that outlines a series of important
mathematical processes all students should be able to do regularly.
Which statement below captures the big idea from one of the Eight Guiding
Principles outlines in the NCTM Principles to Action? ✔️Ans - Look for
both horizontal and vertical alignment to build coherence.
Identify the statement that completes this statement, "Learning
progressions reflect current research and practice and they guide teachers
in understanding..." ✔️Ans - What came before as well as what to
expect next.
As a practicing or prospective teacher each face the challenge of teaching
mathematics from a problem solving perspective. This often requires some
to confront personal beliefs about: ✔️Ans - Teaching conceptual
understanding and procedural fluency.
What are examples of effective assessment techniques that will guide your
understanding of student knowledge? ✔️Ans - Feedback, on-going
observation and continuous data gathering.
What are two ways that learning progressions can inform instructional
planning? ✔️Ans - -informing teachers of what came before
-what to expect next as students reach key points
-identity interim goals along the path to learning mathematical concepts
-inform the order of instructional experiences
What are the main tenets of the Curriculum principle in the NCTM
Principles to Action? ✔️Ans - The tenets of the Curriculum Principle
include a coherent curriculum build around big ideas in daily classroom
instruction. The big ideas are links from one idea to another and help
students see the integration and growth over grades versus an isolated
series of bits and pieces.
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