This document compares and contrasts textbooks in mathematics and the humanities. It discusses the different natures of knowledge in each subject and their uses of language. It then describes typical features and sections found in sample textbooks for mathematics and the humanities. For mathematics, this includes reviews, lessons, examples, practice problems and assessments. For the humanities, it discusses lesson openers that provide historical context, biographies of authors, pre-reading questions, and assessments evaluating different levels of understanding.

1. Reading Texts in
Mathematics and the
Humanities
Lesson 3:

2. Mathematics
♦deals with numbers and
patterns
Examples:
-Arithmetic
-Algebra
-Calculus
-Geometry

3. Humanities
♦are a set of disciplines that attempt to
capture the richness of the human
experience, or to help people become
more fully human through different art
forms
Examples:
-Literature -Language
-Visual Arts -Philosophy
-Music

4. THE NATURE OF KNOWLEDGE
Mathematics Humanities
-deals with numbers and
patterns
-accurate
-objective
-are a set of disciplines that attempt to capture the richness of the human
experience, or become more fully human through different art forms
-have elaborate explanations
of different phenomena
-subjective

5. LANGUAGE
Mathematics Humanities
-direct to the
point
-only supplementary to the numbers and symbols used to
express a mathematical concept
- carefully and at the same time
artistically phrased
- employ a much complex register which
makes use of figurative language

6. Features of a
Sample Textbook
in Mathematics

7. A. Review

8. -provides a quick review of the concepts that
students are expected to know prior to the
presentation of the lesson
Review
Explanation
of the
concept

9. functions as a diagnostic test designed to assess
whether you have already mastered the
foundational concept needed to understand the
lesson
Quick
Check

10. B. Lesson Opener

11. helps you think
about the
significance of
the lesson and
some important
opening
concept
Use this portion to
write your
expectations.
Definition
Heading
Pin-up

12. helps the
students see
how the
lesson can
be used to
address real-
life
situations
Real-world
Link
Picture

13. C. Lesson Proper

15. -an area where you can jot down
notes or write solutions
-indicates
the types
of
problems
to be dealt
with in the
chapter
-serves as example for each
of the concept taught
Work zone
Heading
Sample Problem

16. Answering the
practice problems
will help you
assess whether
you have already
fully understood
and fully
appreciated the
concepts taught in
the chapter.
Practice
Problem

17. -helps you come up with a
suitable mental representation
of the lesson
-also used
to represent
patterns
and
equations
Table
Find a Rule

18. D. Assessment

20. -are designed to make you more
familiar with the processes involved
in solving different sorts of problems
Practice Questions

21. -intends to test the extent that you have
mastered in a mathematical concept
HOT Problem/Challenge Section

22. Features of a
Sample Textbook
in the Humanities

23. A. Lesson Opener

24. Lesson
Opener
Focusing
Question
Historical Background
-is intended to
direct you to
the mainpoint
being
established in
the lesson

25. B. Lesson Opener: Author's Background

26. Prepare to Read
-provides background
information on the text itself
through a brief biography of
the author and other
pertinent elements
Picture and Biography
of the author
-provides an idea why he
wrote the way he did

27. Unveil What you Know
Vocabulary
Building
Pre-reading
Question
-serves to stir the interest of
the reader and provide clues
on the theme of the text
-intends to
unlock the
meanings of
unfamiliar
words
-aims to connect
your personal
experiences
with the text

28. C. Lesson Proper: The Literary Itself

29. Picture
Title and
byline
-comprises
of the text's
title and the
author

30. Text
Learning
Objectives
-are the
specific
skills you
have to
master
after going
through the
lesson

31. Tip
-makes the
reading
more
interesting
and
relatable

32. D. Assessment

33. Remembering Questions
Understanding Questions

34. Evaluating Questions
Creating Questions
Analyzing Questions

35. Thank You
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