Wednesday, November 19, 2014

AMATYC 2014 Presentation: Tips and Tricks for Implementing a Math Literacy Course

Here are the slides from the presentation I did with Dan Petrak at AMATYC last week.  He has used Math Lit at his school for their math literacy course for two years.  He's in his third year of teaching the course.  Their implementation is large scale, across several campuses and with many instructors (full time and adjuncts).

Friday, November 14, 2014

Math Literacy training - AMATYC 2014

Below is the presentation Heather and I gave today at AMATYC as a training session for teaching a math literacy course.  There is information on the philosophy of the course, how lessons are taught, how we use MyMathLab, teaching tips, ideas for groupwork, and ideas for grading.

If you would like more information on the points in the presentation, please check out our ready-to-go MyMathLab course.  In it are 12 instructor videos where we explain many of the topics discussed in the presentation below.  Those videos can be used as a virtual training.

If you are interested in us coming to your school to train your faculty, please email me.

Wednesday, November 5, 2014

Math Lit sessions at AMATYC

Next week I'll be AMATYC in Nashville.  Here are the sessions I'll be presenting.

The Right Stuff - Still Music to Your Ears
Thursday 1:50 - 2:40 pm

Rob Kimball and I will present on The Right Stuff modules.  They are applied, contextual modules designed to engage college algebra students.  I explored these after coming back to teach college algebra after a few years away in which I was working on the Math Literacy course.  Pathways courses have affected all the classes I teach, challenging me to find rich problems and activities to build student engagement and understanding.  We'll talk in detail about the Right Stuff modules.  I'll also share an activity I wrote for my college algebra classes after being inspired by RS material.

Teaching a Math Lit Course:  Tips and Training
Friday 8:00 - 9:30 am

Heather and I are giving this session through Pearson as a commercial presentation.  We will do a fast but informative training session to help you get your Math Lit pilot off on the right foot.  We'll talk about many aspects of teaching the course including the philosophy of the course, the materials we've written, using online homework, and dealing with groups.  Whether you're considering piloting, getting ready to pilot, or teaching the course already, this session should have something for you.

Tips and Tricks for a Successful Pathways Implementation
Friday 3:10 - 4 pm

Dan Petrak and I will give lots of tips for implementing a Math Lit course at any size school, small or multi-campus.  Many ideas will shared including tips for working with adjuncts and advisors as well as classroom-level issues like group-work and contextual learning.

I hope to see you there!

Monday, September 29, 2014

Ideas for accountability in group work

In Math Lit, we use a lot of group work to give students time to work through more involved problems and gain the ability to articulate their thought processes with others.  It's a flexible component of the book and math literacy course in that you can use your class time to be mostly group work or use it some or little of the time.  I teach my class with about half the time in groups and half as whole class, but that's just a personal preference.  It flexes with the students I have and their abilities and personalities.

If you use group work, especially group projects like the focus problems in the text, you know that some students don't carry their weight.  We have suggestions throughout the book for working with groups and maintaining accountability.  This article shares some additional ideas that are worth considering.

Sunday, September 7, 2014

ALS Ice Bucket Challenge and Viral Growth

In the book Math Lit, we work with linear and exponential growth a lot.  In lesson 1.17, we introduce students to both using viral videos as a context.  In this article, a Yale economist explores the ALS ice bucket challenge and how mathematics is related to it.

Bill Gates and Mark Zuckerberg participate in the ALS ice bucket challenge.

Sunday, August 24, 2014

New Math Lit MyMathLab course!

Long time, no blog!  I apologize for not blogging during the summer, but I have something to hopefully make up for it.  Earlier this month Pearson released a new version of the Ready-to-go MyMathLab course for Math Lit.  It contains some great new resources for students and instructors.


For the instructor, we created a series of twelve, brief videos that can be used for training purposes.  These videos can help an instructor with planning and teaching a math literacy course with the book Math Lit.  The videos are available within a new tab in MyMathLab called Instructor Resource Videos.  They are also linked through the ebook's preface.

Video topics:

A Typical Day
Book Structure
Focus Problems
Lesson Features
Cycle Wrap-Up
Teaching with Excel
Tour of MyMathLab
Top 10 Tips
Instructor Support


For students, we created many videos to assist with the skills in the text.  These videos are designed to support the skills in the book but using the techniques and philosophy that we wrote the book with.  Every A Closer Look mini-lecture has videos that accompany all the examples and practice problems (see picture at left).  This allows an instructor to assign the Closer Looks for outside of class in order to have time for the problem solving problems in class.

The student videos are available in the Multimedia Library, linked throughout the ebook, and listed on the lesson pages within the MyMathLab course.


By request, a factoring appendix will soon be added to the MyMathLab course.  It will contain skill problems for all types of factoring including greatest common factor, sum/difference of cubes, difference of two squares, and trinomials (a = 1 and a not equal to 1).  Solving quadratic equations by factoring and applications using factoring will also be included.  This provides schools that want to include factoring a way to assign problems easily.

For a list of the existing resources in the MyMathLab course, check out this blog post.

Thursday, April 10, 2014

4 Credit Hour Syllabi using Math Lit

Math literacy courses are not identical between states or even within them.  Because of that, we included a lot of content in Math Lit to provide schools and states with options.  Some schools would like a 4 credit hour course using Math Lit and aren't sure how to choose sections from the book to fit in their time constraints and meet their content goals.  To make this process easier, I've created three syllabi to respond to the most frequent requests.  They are available at the bottom of this post and can be downloaded.  They are:

1.  A broad range version that prepares students for liberal arts math or stats and has a prealgebra prerequisite.  This version should work for many schools.

2.  A version that prepares students for liberal arts math or stats but has a greater emphasis on stats prep.  It also has a prealgebra prerequisite.

3.  A course that replaces intermediate algebra for non-STEM students.  It has a beginning algebra prerequisite.

The first and second syllabi would work for either of these models:

The third syllabus would work in this model:

If you have questions or would like a different syllabus created for your school, please email me.

Sunday, March 30, 2014

New recording of webinar on Youtube

Since the volume of the recording was low, I increased the volume and converted the webinar from last week to an MP4 file that is uploaded on Youtube.

Friday, March 28, 2014

Slides, handouts, and recording for today's webinar

Overview handout on Math Literacy course

Presentation slides

MLCS Pearson March 2014 from kathleenalmy

Click here for a recording of the webinar.  Please turn your speakers up.  Unfortunately the sound is not perfect, so please overlook some of the background noises.  That comes with webinars often.

Tuesday, March 25, 2014

Webinar this week on Math Literacy and pathways

If you'd like to learn more about pathways and the Math Literacy course, I'm giving a webinar this week.

What:     Math Literacy course webinar
When:    Friday March 28, 1 pm Central time
Where:   Online
Cost:      Free

Register with this link.

Edited:  Documents from the webinar will be posted afterwards.  The webinar's recording will be available on the blog soon.

Monday, March 10, 2014

Friday, February 14, 2014

A Typical Day: Math Lit classroom videos

By request, we've videoed some lessons of a Math Lit (MLCS) class.  If you're piloting or planning a pilot, this detailed guide through the clips that follows may be helpful for getting a feel for a typical flow of a lesson.

To start, please print the attachment below of lessons 2.5 and 2.6 from our book, Math Lit.  They are the instructor's versions of the lesson.  Looking through them as you watch Heather teach parts of each lesson will help make sense of the problems students are working and the flow of the content.

In the instructor pages, you will see icons suggesting to the instructor if the activity is group, whole class, or individual.  Time estimates for the entire lesson and each part of the lesson are listed under the icons.  Notes based on our class tests are provided.  You will see Heather often following the suggested format of the lesson, but she also deviates as needed.  Sometimes an activity is suggested to be whole class and she will teach it in groups or vice versa.  We both do this as needed depending on the personality of the class as well as their mathematical level of understanding.  The text is meant to flex for you and your students.

A few notes:

I've tried to provide the best quality video I can, but I'm not a professional videographer.  Please turn up the volume on your computer.  When several students are discussing, there will be a lot of conversations.  It's not always easy to hear all of them.

Also, due to our schedules, I was not able to video one lesson from start to finish.  I recorded the end of lesson 2.5 and a good portion of lesson 2.6.  It's a lot of time in the classroom and definitely provides many helpful tips on what happens in a classroom.  But I will start with the beginning of a lesson, going through 2.6, and end this post with the end of a lesson, which will be from 2.5.

Instructor lesson pages:

Math Lit Lessons 2.5 & 2.6 from kathleenalmy

Classroom setup:

We like to have 24 - 30 students max in a class.  Our developmental math class sizes are capped at 24, which is a nice number of students, especially with group work.

We group students for each unit, called cycles, and have them work and sit with their group every day.  Groups usually have 3 or 4 students in them.  We use a room that allows the desks to be moved near each other.  We also use a document camera to display student pages of the book on a screen.  We write on the student pages to model what students should be writing when they are taking notes.  Their book is a consumable worktext, meaning it is their book and workbook all in one.

How a lesson begins:  Explore

Lessons start with some kind of problem or scenario that students explore, usually in their groups.  This part of the lesson is known as the Explore.  Heather opens Lesson 2.6 Measure Up (book pages # 172 - 173) by explaining the scenario and getting students started with some geometric formulas.  You will see throughout this lesson that sometimes she frames the problems they are to work on and other times tells them what to work on without reading the problem for them.  This encourages students to read better and analyze a reading critically for information.

Key takeaways:
  • It's not necessary to tell students the mathematical objectives they will be working on before moving into content.  It's ok to let them solve some problems and see where they need more tools.  This motivates the need for the theory and the objectives to be addressed.  In this lesson, students see the need for understanding the rules behind exponents.
  • Students are not told which formulas to use to answer the questions.  They must work together to make sense of and solve the problems provided.  This makes the activity into a problem instead of an exercise.
  • The atmosphere of the room can be loud when students are working in groups.  As long as students are productive, it's ok to have some noise in the room.  
  • Heather moves around the room to monitor the progress, help students who might be stuck, and help students articulate their thought processes.  She doesn't give the answers, though.  Students are supposed to work as a group to arrive at answers at this point in the lesson.  
  • At the 9 - 10 minute mark, it's hard to hear all of the conversation but Heather is clarifying diameter and radius and the difference between perimeter and area.  These concepts have been seen before in the course but students still struggle with using them.

Explore discussion

Next, Heather discusses the answers to the Explore problems as a class.

Key takeaways:
  • Heather encourages good mathematical practices while showing how to solve the problems.  She starts by asking students if they used a picture, which is a useful technique but often unused by students.  She also emphasizes the use of units, that we are dealing with quantities, not just numbers.  Doing so gives meaning to the units in the answer and leads to fewer students leaving off units in their answers.
  • Multiple approaches are valued.  Some students saw the problem's solution immediately with a picture.  Others needed the calculations to make sense of the problems.
  • The student who noticed four 8's is more than pi 8's articulated a way of looking at the problem that is atypical but very useful.  Estimation and mental math were used, showing students that the calculator is not needed all the time.  They can improve their mental math skills by practicing them often.  We regularly tell students to do certain types of problems in the book without a calculator to encourage this practice.
  • Heather asks students to explain how their thought process as she works through problems, correcting mistakes as needed.  It is helpful to students to hear how others think through a problem.

Transitioning to new content:  Discover

Now that students have had a chance to see a problem where more mathematical knowledge is needed, we begin the work of developing the theory.  This part of each lesson is usually the longest component and is known as the Discover.  We call it that because we don't necessary use lecture during the direct instruction.  Students are still working together often on problems, but the focus is to develop new skills, vocabulary, and notation that can be used.

In this clip, Heather helps students make conjectures about exponent rules by having them complete an activity in groups (book pages #173 - 174).  She models what to write in the table and then has students work on the remaining questions in the table.

Key takeaways:
  • It is more time-consuming to have students discover the rules as opposed to giving the rules in a lecture.  However, the learning is deeper and the retention is better, lessening time needed for review of concepts in later lessons.  
  • Students are asked to make conjectures.  In the first cycle, they learn about inductive and deductive reasoning, conjectures, and counterexamples.  They are applying those old ideas in a new context.  This spiral approach is used throughout the book.  It leads to greater understanding over time.  Instead of doing 100 exercises with a skill when it is first learned, students do enough practice to get some confidence and then see many more uses of the skill over time to solidify doing the skill but also knowing when to use it. 
  • When students were quiet, Heather encouraged them to work together.  When one student in the group found the answer but the others weren't at that point, she encouraged the student to explain his reasoning to the others.  They benefit from his explanation (which may be different than the instructor's explanation) and he benefits by learning how to articulate his thought processes.

Discover discussion

Next, Heather discusses the answers to the Discover problems as a class and continues with some additional problems as a class.

Key takeaways:
  • Heather does not treat the students as though they have never been in a math class.  Most have had 1 - 2 years of algebra prior to this class.  She uses that background to preview some algebraic concepts that will be addressed in the upcoming lessons in much more detail.
  • Heather encourages being careful with language and notation.  "Distributing" has a specific mathematical meaning, so using it in other instances can be problematic.  She also talks about "cancelling" since this is not a mathematical procedure, just a verb we use often.  Mathematically, we divide factors.  That precision can make a difference in understanding.
  • When writing the conjectures, she emphasizes when the rule is used.  That will be necessary when students start applying the rules.
  • Students are more inquisitive and curious about mathematics with this activity-based, problem-solving approach to the course.  By constantly looking deeper at concepts, often ones students have seen before, and always asking students "why?", students learn that it's ok to wonder.  Those discussions, although something tangential, can be really interesting and illuminating.  Heather's class was very interested in the idea of imaginary numbers in lesson 2.4, even though we barely touch on that concept in this course.

One of her students talked to me after class.  I had thanked her for being recorded and mentioned I thought she had a nice class.  She told me this:

"I've never liked math.  I really worried at the beginning about all the word problems.  But now I really like this class and how we do things."

Remaining parts of the lesson

At this point, her class was done for the day.  Let's look at what she'll do during the next class to finish the lesson.
  • On page 175, a How It Works box summarizes the rules that the students just discovered.  Heather will point out each rule, mentioning the notation for writing the rule and the verbal way of thinking of the rule.  At the bottom of the page are some traditional practice problems.  She will work through those as a whole class so that students can see which rule is being applied and why it's being used.  If students need more practice, we may do a few more problems.  However, there is substantial practice on this skill in the MyMathLab homework.
  • Students will then work through #7 and 8 in groups, allowing them get more skill practice while applying the new skills they've learned in a context.  The problems will require students to complete geometric calculations with units in their calculations, something most students have never done.  This shows them why the answer is in linear, square, or cubic units.  It's also a common practice in science, providing students with a skill they can use in other disciplines.  Heather will go through each problem after students have had a little time to work with them.
  • Next, she will work through the Connect portion of the lesson which allows students to extend their new skills into a more involved problem than the original Explore problem or possibly in a new context.  Because these problems in this Connect are difficult, we do them as a whole class.
  • She will then wrap the lesson up by discussing the Reflect box on page 177 and then remind students to do the MyMathLab homework for skill practice and then all of the book homework to work with application of the skill.  This particular book homework assignment is quite short but that is due to the MyMathLab assignment being very lengthy.

I was able to video the end of Heather's Lesson 2.5.  Let's look at how a lesson closes in more detail.

Apply new knowledge:  Connect

In Lesson 2.5 An Ounce of Prevention (book pages #166 - 172), students work with the concept of the mean of a data set.  The calculations are usually the easiest part of the lesson for students.  Making sense of how the mean works is the more difficult part, but also very important.  The students worked through a grade situation in the Explore, learned about the definition and concepts of the mean in the Discover, including working with physical pieces (or pictures) to get more visuals of the mean.  At this point, they are ready to make some connections to what they've learned and the original context:  grades.

Key takeaways:
  • Student success ideas naturally come into the lesson by using a grades scenario for working with means.  This provides a chance for a good discussion on the importance of front-loading your grades and not waiting until the end of the semester to improve them.  This lesson is taught not long after receiving their first test grades, making it even more relevant to students.

Close the lesson:  Reflect and homework

Heather discussed the point of the lesson, including the title, which is short for the saying "an ounce of prevention is worth a pound of cure."  Most students under the age of 25 are not familiar with this saying, surprisingly.

The video ended at this point, but Heather continued with some reminders about homework.  She reminded students to do both the online and book homework.  This book homework assignment is longer than the one in lesson 2.5 and is more typical of the length of most book homework assignments.

Hopefully this bird's eye view of one of our classes gives you a better sense of how the course works.  The lesson flow described here is typical.  Students quickly adapt to the approach used.

Still have questions?  Please email me.

Thursday, January 23, 2014

Friday, January 17, 2014

Documents and slides from today's webinar

I gave a webinar today with Dan Petrak about implementing a pathways course.  Below are my college's course syllabus for the MLCS course we teach, my class syllabus from this semester, and today's slides.

Tuesday, January 7, 2014

Upcoming Webinar on MLCS Implementation

I will be giving a free webinar with Dan Petrak of Des Moines Area Community College next week on implementing a pathways course like MLCS.  The webinar is sponsored by AMATYC.  Here's the info:

Tips and Tricks for a Successful Pathways Implementation

Kathleen Almy and Dan Petrak
Sponsoring Committee: Developmental Mathematics Committee (DMC)
Date: Friday, January 17, 2014
Time:  1:00pm EST / NOON CST / 11:00am MST / 10:00am PST
Are you planning a pilot of a pathways course like Math Literacy for College Students or have a pilot under way?  This webinar picks up where Kathleen's previous webinar, New Pathways for Developmental Math, left off.  In it you will get an overview of the current pathways being used and the state of implementation at the national level.  You will learn about Des Moines Area Community College's multi-campus implementation that has scaled over the last year and a half.  Additionally, tips on classroom-level issues will be discussed.  From ideas on training adjuncts to teaching with groups, this webinar will provide many tips to help make your pathways pilot a success. 

To register, click on this link and then click on Register.