GED0103 Mathematics in the Modern World - Formative Assessment 1
Reading Analysis (A Mathematician’s Lament)
and Connecting Real-Life Situations to Mathematics
Part 1: Give and explain one useful application of mathematics in each of the following
disciplines. (1pt each)
1.
2.
3.
4.
5.
6.
7.
8.
Disciplines
Biological Sciences/Medicine
Agriculture/Economics
Arts and Linguistics
Psychology
Engineering and Technology
Actuarial Science, Insurance,
Accounting, and Finance
Transportation
Politics
Application of Mathematics
Part 2: Deepening
Direction: Answer the following items succinctly. Write your answers in at most 3 full
grammatical sentences. (3pts each)
1. Is math invented or discovered? Provide a valid argument then explain. You can search
for online sources/materials to build your argument.
2. Explain the statement below. Support your argument by citing examples and relevant
evidence.
“Math is used to see and discover the hidden and invisible”.
3. Do you believe that “teaching mathematics requires no method, no tools, and no
training, just the ability to be real” as per Lockhart? What do you think are the possible
consequences of this? Provide 3 justifications.
4. Upon reading Lockhart’s article, how would you envision your own ideal mathematics
classroom? Provide at least two (at most three) situations to support your answer.
~ ~ ~ ~ TOTAL: 20 PTS ~ ~ ~ ~
Rubric
Exemplary
4 pts
The critical
issue/problem is stated
clearly and described
comprehensively,
delivering all
relevant information
necessary for full
understanding.
Proficient
3 pts
The critical
issue/problem is stated
clearly, described, and
clarified so that
understanding is not
seriously impeded by
omissions.
Developing
2 pts
The critical
issue/problem is stated
but its description
leaves some undefined
terms, unexplored
ambiguities,
undetermined
boundaries, and/or
unknown background.
Beginning
1 pts
The critical
issue/problem is
stated without
clarification or
description.
Evidence
Information is taken
from source(s) with
enough
interpretation/evaluation
to develop a
comprehensive analysis
or synthesis.
Viewpoints of experts
are questioned
thoroughly.
Information is taken
from source(s) with
enough
interpretation/evaluation
to develop a coherent
analysis or synthesis.
Viewpoints of experts
are subject to
questioning.
Information is taken
from source(s) with
some
interpretation/evaluatio
n, but not enough to
develop a coherent
analysis. Viewpoints of
experts are taken as
mostly fact, with little
questioning.
Information is taken
from
source(s) without any
interpretation/evaluat
ion.
Viewpoints of
experts are taken as
fact, without
question.
Influence of
Context and
Assumption
Thoroughly
(systematically and
methodically) analyzes
own and others’
assumptions and
carefully evaluates the
relevance of contexts
when presenting a
position.
Identifies own and
others’ assumptions and
evaluates several
relevant contexts when
presenting a position.
Questions some
assumptions. Identifies
several relevant
contexts when
presenting a position.
May be more aware of
others’ assumptions
than one’s own (or vice
versa).
Shows an emerging
awareness of present
assumptions
(sometimes labels
assertions as
assumptions). Begins
to identify some
contexts when
presenting a position.
Student’s
Position
Conclusions and related
outcomes
(consequences and
implications) are logical
and reflect the student’s
informed evaluation and
ability to place evidence
and perspectives
discussed in priority
order.
Conclusion is logically
tied to a range of
information, including
opposing viewpoints;
related outcomes
(consequences and
implications) are
identified clearly.
Conclusion is logically
tied to information
(because information is
chosen to fit the
desired conclusion);
some related outcomes
(consequences and
implications) are
identified
clearly.
Conclusion is
inconsistently tied to
some of the
information
discussed; related
outcomes
(consequences and
implications) are
oversimplified.
Convention
Grammar, spelling,
punctuation,
capitalization is correct.
No errors in the text.
Includes 2-3 grammatical
errors, misspellings,
punctuation errors.
Includes 3-4
grammatical errors,
misspellings,
punctuation errors.
Includes more than 5
grammatical errors,
misspellings,
punctuation errors,
etc.
Explanation of
Issues