METHODS ACTUAL
EXAM QUESTIONS WITH
COMPLETE SOLUTION
(LATEST UPDATE 2026)
GRADED A+
According to the Principles and Standards for School Mathematics (2000), curriculum is more
than a collection of activities, but rather is considered to be all of the following --PRECISE
ANS--* focused on important mathematics.
* well-articulated across the grades.
* coherent in content
NOT: formulated on standard methods.
According to the Teaching Principle defined by NCTM, effective mathematics teaching requires:
--PRECISE ANS--understanding what students know and need to learn
The Technology Principle states that technology is essential in teaching and learning
mathematics. --PRECISE ANS--True
The NCTM standards does NOT provide a national curriculum for mathematics education
--PRECISE ANS--True
The Principles and Standards for School Mathematics (2000) document makes which of the
following statements about drill and practice. --PRECISE ANS--Drill may produce short term
results on traditional tests
NOT: Drill should be considered "doing" mathematics.
,Drill leads to understanding.
Drill leads to mastery of basic skills.
, --PRECISE
In order to create an environment for doing mathematics, the teacher's role is to:ANS--create a
spirit of inquiry, trust, and expectations.
Traditional teaching approaches lead children to accept all of the following: --PRECISE ANS--*
that they should not expect a to solve a problem without a prescriptive method.
* that there is only one way to solve any problem.
* that every problem has a predetermined solution.
NOT: that making sense of mathematics is what is important
A desirable mathematical environment includes: --PRECISE ANS--*the focus is on students
actively figuring things out.
*reasoning is celebrated as students defend their methods and justify their solution.
*students are testing ideas and making conjectures, developing reasons and offering
explanations.
NOT: students are working through practice problems to learn the mathematical strategy.
Repetitive drill is NOT needed to do mathematics as you master the skills --PRECISE ANS--True
Teachers must NOT continue teaching by telling --PRECISE ANS--True
Constructivist Philosophy has as a basic tenet that: --PRECISE ANS--children construct their
own knowledge.
The constructivist theory proposes all of the following: --PRECISE ANS--*effective learning
requires reflective thinking.