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Senate 

?

From .......

Senate Committee on Undergraduate 

Studies 

Subject...

Mathematics ? 

Proposal .. 

?

Date ....... .1979-04-1 .

Action taken by the Senate Committee on Undegraduate Studies at its 

meeting on Tuesday, April 10, 

1979

gives rise to the following motion: 

MOTION 

That Senate approve and recommend approval to the Board of 

Governors of the following changes in the Mathematics Program 

as detailed 

in

579-

(1)

Change 

in

title, calendar description and prerequisite statement 

for MATH 

190,

Principles of Mathematics for Teachers I; 

(2)

Flew course: MATH 

191,

Principles of Mathematics for 

Teachers II. 

Subject to the approval of Senate and the Board of Governors of the 

new course MATH 

191,

the Senate Committee on Undergraduate Studies has 

approved of the waiver of the time lag requirement in order that this 

course can be offered in the semester 80-1. 

From N.

Heath ? 

Asst. to Dean of Science 

Date 1979 03 28 

SiMON FRASER. UNIVERSITY ç

t-t

MEMORANDUM

At the meeting of 1979 03 13, the Faculty of Science approved the following 

motion, 

That the Faculty of Science approve the new course proposal, 

MATH 191-3, Principles of Mathematics for Teachers II, and 

the revision of the course title, calendar description and 

prereqUisite of MATH 190-3, Principles of Mathematics 

,

for

Teachers I,' and forward these to SCUS for consideration and 

approval." 

Supporting documents are attached. A statement from the Library is 

expected in due course. 

'

40-

nh

ti6iniLLLUJ

•• ? 

:'

OFn(:r

FVSK

NONE

NOTE:

.taught in

the

(Math

being taught in the

(Math

pat

eoad.

SENATE. COMMITTEE ON UNDERGRADUATE STUDIES

COURSE PROPOSAL FORM

Ci1.cn.iar Information

Calendar Description of Course:

The mathematics

behind

both the concepts and

te.chniqueA &ivove.d in the teat

riumbe't

4y4tem,

pZarie. geome.-tky, 4o!.id ge.ome..t&g, met'i)ia

geometAy,

and motion

ge.omet'uj. EmphaoL

w-iU

be an thote p'wpe1die4

the neat nwnbe.'t-t and

geometq(

wkicj

appeWL

in .the eie.men-ta,uj zc.hoo.e eLe.u&uin.

Nature or Course

Lee./To

Prerequisites (or special instructions) .

MATH

190-3.

Thoe.

4adent.

who

a/ie. em&en-U. ?

have

MATH

(Ok

cannot -taize this cowtoe. okf /treiThJ e.owe cannot be

counted -

towq.t& Ma-thim'ttLc4

"L.a... ,Majon. on !-IovwnA de.gite.e.

nquLkeme.nt

What course (courses), if any, is being

dropped from tne caienaar

NONE

Flow

will

the course be offered?

Onc.e

a ye.a.'i

Semester in which the course will first be offered?

Spiting

1980

Which of your present faculty would be available to make the proposed offering

possible: ?

Vit. A!pae.h, Ge.itbe.it

and o-theii

Objectives of the Course

The eou/z1e

a continuation o6 MATH 190-3. The eounoe.

Lo designed

give

piw4pe.atLve. eie.me.ntvtg 6choot (and po4ib-ee 4e.condwuj choo!L) te.ae.he.n.4 baeizgitound

in the the.oiuj and

apptic

ationz

wtLthme.-tic and geome..t&y that

.L.s

a u.uaL paxt

the ge.rie'ute gitade. 4ehoo1

CLVLtcaew?1.

4. Budgetary and Space Requirements (for information only)

What additional resources

will

be required in the following areas:

:is 73-14b:- (When compietin(-1 this form, for instructions see Memorandum SCUS 73-34a.

.t t icli (:c)IJr:;e

outline)

MATH 19 1- 3 

PRINCIPLES OF MATHEMATICS FOR TEACHERS II 

I. Integers and Rational Numbers 

a). Study of the arithmetical operations of the integers and rationals. 

b)

Closure. 

c)

Applications — e.g. negative exponents and scientific notation. 

II. .[rrationals and Reals 

a)

Proof that the rationals are dense. 

?

. .

b)

Proof that 

?

is irrational. 

?

..

c)

Completeness of the reals. 

d)

Analysis of techniques for approximating square roots including 

Newton's method. 

e)

Rates of convergence. 

III. Pla 

a)

..

re and Solid Geometry 

Coxnbinatorical problems concerning points and lines. 

Separation properties. 

?

.

The Jordan Curve theorem. 

Congruence and similarity. 

Straight-edge and compass constructions -- why they work. 

IV. Metric Geometry 

?

.

a)

Properties of measurement including the congruence property, the 

covering property, the additive property and Archimedes' axiom. 

b)

Brief discussion of the metric system. 

c)

Development of the area and volume formulas for various figures. 

V. Motion Geometry 

a)

Translations 

b)

Reflections 

c)

Rotations 

d)

Study of various forms of symmetry. 

As many of these topics will be covered as time permits. The topics will not 

necessarily 

be covered

in the order indicated above. 

PREREQUISITE. MATH 190-3. Students who are currently taking 

or have 

received 

credit for MATH 151-3 or MATH 154-3 or 157-.3 (or 150-3) cannot 

take this course for credit. This course cannot bp counted towards 

!1Ih.,

Mathematics 

?

Major 2 Honors dear&e requl rements 

A4/ ?

çle9r-e

f'Cce ? 

97W

?'-

,.41W'//..3

2/79 

SENATE COMMITTEE ON UNDERGRADUATE STUDIES 

?

•1 

CHANGE OF CALENDAR DESCR., PREREQUISIT

AND TITLE

Calendar* Information 

?

Department: 

Mat

heina.tLc4

Abbreviation Code: 

MATH

Course Number: 

190

Credit Hours: 

?

Vector: 

3-1-0

TLJe of Course: 

?

PRINCIPLES OF MATHEMATICS FOR TEACHERS I

Calendar Description of Course: 

The mathematics behind bo-ththe e.one.ept,s and te.e.hn..Lquei LvivoLve.d in the whoLe rtumben.,

çn.ac,tonaL numben., and n.a-toria2 nwnbex zy.6temz. Empha4-I.s w.LLe be on thoe pn.opetLe4

the nwnbe'i 4y.6tem which appeax in the eme.nta&y 4e.hooL C.WOLLCLL&Lm.

Nature of Course 

Same

Prerequisites (or special instructions) : 

Tho4e .o-taden.to who axe. ciioe.nt.Ly .tczfzLng

on. hwen.e.e.ewed cxedt son. MATH 151-3 on. MATH 154-3 on. 157-3 (on. 150-3) cannot

tae ?

aowoe on.ffi

. e,

,JtThi c.owz,.e cannotbe. counted towwiths Ma-theJna.tLcA

Ma.j

on. o)L

Honou de.gn.e. n.equc.xeinen-ts.

What course (courses), if any, is being dropped from the calendar if this course is 

approved: ? 

NONE

. ?

•/, ?

.df ?

2 ?

S(h(duiin 

Flow frequently 

y

will the course be. offered? 

Same. a

Semester i.n which the course will first he offered? 

?

- ?

pn.e4en-t

Which of your present faculty would be available to make the proposed offering 

possible: 

Objectives of the Course 

Change oç e.owtse tLtLe. to coincide with the £nt'todaciiLon

the 4eqae.nti.aL

coWt.óe., MATH 191-3,

Pn.ncpLe4

o4 Mathematics son. Te.ae.hex U

Thvz.e h" .been a. .o.&ght mod,L{,Lcction

the CaLendwz. Vec'tLpton.

4.

Budgetary and Space Requirements (for information only) 

What additional resources will be required in the following areas: 

Faculty 

Staff 

Library 

?

NONE

Audio Visual 

Space ? 

. ?

.

Equipment 

5.

Approval 

Date:                  

1979 03 28

Department Chairman ? 

Dean ? 

Chairman, SCUS 

:C1,JS 73-34b.- 

,

(When completing this form, for instructions see Memorandum SCUS 73-34a. 

Attach cmirse outline). 

S ?

SIMON FRASER UNIVERSITY

MMOA%M

ni ..

Subied..Wq 190-3 290-3,

.........................

L4 a c.ouMe. ion. .tho6e. .6.&Lde.n.t who have e.Lthe..& ne.ve)t taken

B.C. Gn.ade.

mathematics on. ..L-t6 e.qw.LtaLe.n..t, ot ha.ve. toize.rL Gn.ade.

math

max y yeaJL6 ago and have. ,oitgotJ..eri it. The cou/the is oe.n.e.d to enabZ.e. .thoe.

4.titde.n.t6 who e.ne& with onLj (M.ade 11 math to ma!ae up theJjt de.

Lc,Le.nC&6 and

•

pn.e.pan.e. them Lon. the Catciitu6 and mon.e. diiiicutt cowt4e4.

The Math

1907

3, 290-3

package e.ove.flA ma.tQJzioJL £n.om G/Lade.6 1 - 8 in a

• ?

mon.e. sophisticated Lonin. The students in this c.oWt4e have aL'LeD..dy taken

Gn.adeA I - 8. The onLy pMMqWL6

.te Sot this coWr.6e. £4 Un-LVQA61iy e.nLPuinc.e.,

i.e. Giuzde 11 math. •Thvte.on.e neLthex gn.ade

package. Convelr4ety, ne..ithe.'i. Math

190-3

rW'L

290-3

cite pxexequ4Lte.4 son. Math

100-3.

6act, the.&e. £6 ab4o..uteZy no

oventap between these e.oWi4e.4.

The n.eo2on

Sox

e4ttuLe..tLng e.nxo!lme.nt in Math

based on owi. expe..a-Leite with the e.Owe. When, in the. past, we did not

•

oZlme.n-t, we sound that the Science 4tadeivt4 c.ould an.we/r. the. questions we.

po&ed ea.4Ley and peithapo moiLe. .mponiaJvtLy, £n a sophisticated mannelt. This

had the immediate e66ect

pLann..uzg to eivtvt the PVP pn.ogita.m. The/i.e. a/i.e. two goaL6 to the Math

190-3, 290-3

S ?

package.. FA..k4.t we wish to £ne.xe.a.6e. the Level oJ undeto.vtdJng o6 the students

ox the wtde.n.Ly1ng concepts oJ the e.eeme.ntaXq 4e.hoot e.Wt/L..LCIL1LWfl. What £6

pvthap4 equaLLy irnpont.an-t, we Avvt to de.cn.e..a4e the anxiety many

the4e.

S ?

udent4 have touWtd6 mathematics and £ncxeue.theAiL enjoyment o the subject.

•

A6 mentioned above., the. pn.e.4e.nce. o c2ene.e. students in the cta.64 was cwvtVt-

piwdw.tLve. It may be uxitthwhA2e to have a cou/t6 e. 6otscience. majon-4, and

• S

4tudent4 who a/i.e good

mathematics, which cove/14 the mate,k&lL they uLLU

need to .ta.c.h

in e..eenie.n.ta.ky

C.OUX/Je

Sax

• ? 

... .. 

?

NOTE: MATH 290-3 was subsequently re-designated MATH 191-3. 

SiMON FRASER UNIVERSITY

MEMORANDUM

........

Undergraduate Studies Committee 

......... ? 

ip1jq• 

Dep.tent

.................. 

Subj.......... 1WQJJA49NW..QATk..........................

MATH 

190-3, 191-3

From.... 

?

p

jtn.. 

Mematic . 

.Pptx1...................... 

Date. . .iWpy. 

?

1, .

9•79

............................

As requested, this memo is to provide you with the enrollment 

data for previous offerings of the Principles of Mathematics for 

Teachers courses. The second half of the course sequence was first 

offered in the academic year 1977-78. Enrollment data for Math 190 

is presented for the past five years. 

Course : 

?

75-1 ? 

76-1 

?

76-3 ? 

77-3 ? 

78-3 78-1 79-1 

Math 190-3 ? 43 ? 

51 ? 

57

?

102 ? 

133

Math 

?

28 ? 

31

*Offered as 

as a selected topics course (292-3) 

Math 190-3 has also been offered regularly at the request of 

Continuing Studies and the Faculty of Education in previous Inter 

and Summer sessions. Enrollments for those off, rings are as follows: 

Course ? 

75-2 

?

76-2 

?

77-2 ? 

78-2 

Math 190-3 ? 

13 ? 

52

?

23 ? 

47

.

JHE/dr 

MEa!ton 

.

SIMOIN FRASER UNIVERSITY

MIMORANDUM

.A.C• 

•

?

hin

•1 

?

From ? 

. Marvin. 

F..Wldeen, . Director 

?

.

?

• ? 

Undergraduate Studies Committee 

matkcs 

.

D po . 

Ct M 

pt ........................... Undergraduate. .Pr.ogr.ams.................. 

Subject....................................................... 

?

Date. .....Znd..Fekrury..J979......................... 

This is in response to your memorandum of January 26th, regarding 

Math 290-3, 

*

Principle 

s

of Mathematics for Teachers II. I have circulated 

this proposed course to Professors Trivett and Dawson in our Faculty for 

their comments. Both were highly supportive of the proposal. 

In terms of course overlap, it does not conflict with any course 

that we offer; rather, it is supportive 

what we are attempting to do 

in our Faculty. 

One further comment concerning the way in which the course Is offered 

might be of some use to you'. Much of the success of Math 190-3 has been 

?

. ?

due to the way in which the course has been taught. Not only have students 

learned a great deal about the mathematics in the elementary school curriculum, 

but their. attitudes 

toward the subject have been changed in very favourable 

ways. I would think that the success of Mathematics 290-3 ',ill depend on an 

approach similar to that used in Mathematics 190. 

* Later it was agreed to designate 

the course MATH 191-3.

MFW : cc 

SIMON FRASER UNIVERSITY

MEMORANDUM

To...

Dr. ..Wideen...jo 

Undergraduate Programs 

CU].ty 

.

of

•

Education 

Subject

........................................................

From..

Undergraduate 

Studies Committee 

4atheoat1 

'c

?

.pxtit...................... 

Date.

..x.?6'..1?79............................ 

This is to inform you that th- Mathematics Department intends shortly to 

present for approval before the Faculty of Science Undergraduate Curriculum 

Committee the new course MATH 290-3, Principles of Mathematics for Teachers II 

(3-1-0) to supplement our current listing MATH 190-3. 

If you have any objections or suggestions regarding this course, on the 

grounds of course overlap or otherwise, would you please let me know. 

Favourable comment is, of course, also very welcome. Further information is 

available on request. 

1. ? 

•

G.A.C. Graham 

GACG/dr 

End.

Course proposal forms for Math 190-3, 290-3 

Syllabus for Math 290-3 

CC: N.

Heath, Assistant to the Dean of Science 

NOTE: MATH 290-3 was later re-designated MATH 191-3. 

N. Heath 