Instructor support for Math Lit

In the Math Lit book, we've provided many supports for the instructor to make teaching the MLCS course easier and more enjoyable.  The preface explains the philosophy of the book and approach taken to develop content.  In the annotated instructor's edition of the text, we've included all the answers as well as detailed notes and tips for teaching the lesson.  There is also an Excel appendix and an instructor appendix in the back of the book.  Included in the appendix are broad notes for each lesson as well as a time estimate for the lesson, any materials needed, objectives covered, and tips for success.  Rubrics for grading the focus problems are also included.  Additionally, there is cycle-level support for the instructor including pacing information, tips on creating groups, and assessment.

Additionally, we have written an Instructor's Solution Manual and an Instructor's Resource Manual.  Both are available electronically within the MyMathLab course.  The Instructor Resource Manual includes:

• A sample course syllabus for an MLCS course
• Templates to help students write focus problem solutions
• Rubrics to use when grading focus problems
• Two quizzes for parts one and two of each cycle, including group quizzes
• Two exams for each cycle
• A comprehensive final exam
• Answers to all quizzes, exams, and final exam

The Instructor's Solution Manual contains detailed solutions to all homework and cycle wrap-up problems in the book.

Also, the MyMathLab course is a Ready-To-Go course, meaning that it has premade homework assignments and quizzes.  To copy it, just search for 'Math Lit' or 'Almy' or 'Foes' within the Create/Copy Course option.

A TestGen database is available for instructors who would like to pick and edit test questions.

For those who want to teach an online or flipped or hybrid version of MLCS, we are creating videos to support the text.  A new version of the Math Lit MyMathLab course will be released in June 2014 with these videos embedded in the etext.






Edited 2/18/14

Math Lit now available!

Math Lit printed early making it available now.  It might be another week before it can be purchased from vendors.  If you would like to see the full book in the meantime, check with your Pearson rep.

The MyMathLab course is being completed now.  It will go live the first week of August.  In it will be additional supplements in PDF form:

• Instructor's Resource Manual 
• Includes quizzes, exams, a final exam, and additional support for focus problems

• Instructor's Solution Manual
• Includes detailed solutions to all problems in the text

Is MLCS just "fun algebra?"

When I give talks and workshops and as I'm teaching the Canvas MOOC, I use example lessons to help illustrate what MLCS is and how content is taught.  Lessons start with realistic contexts in which the mathematics is pulled from them.  Many times an algebraic topic is developed.  Lessons close with contextual or mathematical connections to the topic that was developed.

I've realized that upon first glance, it looks like we're just taking algebraic skills and trying to make them interesting.  Certainly, we want student engagement.  Developmental math students have been unsuccessful at some point in their math career and because of that, they often shut down when a topic looks familiar.  The mind is powerful; if a student believes they cannot learn a particular topic, that can be a self-fulfilling prophecy.  So that students don't allow their preconceptions to dominate the learning experience, we deliberately try to come at topics in novel ways.  And it works.  I've had students work a long time with a concept, and successfully at that, and then realize, "hey, this is that y = mx + b thing, isn't it!"  One instructor said to me that it's almost sneaky algebra and I wouldn't deny that.  

Pathways courses use realistic and relevant content.  Adult learners are more motivated by content that they can use.  I don't believe something has to be immediately useful to be worth learning.  But if it is, it is much more motivating to students.  Motivation and engagement are necessary for a successful developmental math classroom.

But MLCS is much, much more than interesting, contextualized lessons.  

If MLCS were just fun algebra, we would be covering all the traditional topics in the traditional order.  That's not the case in this course.  We have added new topics and scrapped some traditional ones.  For all topics, the emphasis has changed because the goals for the student have changed.  The approach and development is different so that students can do more than successfully demonstrate a list of skills.  Instead, the emphasis is on understanding and use of skills, not just the skill knowledge itself.  Really, this course is good for students heading on the STEM path as well as the non-STEM one.  With a follow-up intermediate algebra course, STEM-bound students would have all the conceptual and applied knowledge they need from MLCS and any additional symbolic skills from intermediate algebra.  

Beyond the approach to an individual topic, the order of topics has been turned on its ear.  That change isn't meant to be confusing, but instead to create learning.  In all algebra courses, we instructors use a particular order of topics because every book uses it.  Someone at some point chose that order and it stuck.  But it doesn't mean that it creates learning.  For some people with some topics, it does.  But does learning mean the student can perform the skill successfully?  I would say no.  I believe real learning means the student understands the skill, can use the skill, and sees the connections between the skill and others.  The traditional linear order of topics doesn't always allow for the connections which are so important.  

The traditional approach gives the impression that math is made of discrete skills.  Often a problem in an algebra class is a rational equation problem or a graphing problem or a factoring problem.  Real problems are none of these.  They use these ideas and others and integrate them.  A real problem (be it in a mathematical setting or a real life one) will cross over into multiple areas of math at once:  algebra, arithmetic, geometry, etc.  

To help a student learn how to solve these more involved, real problems, the course integrates content.  There are key threads we want students to gain understanding of:  numeracy, proportional reasoning, algebraic reasoning and functions.  True learning takes time.  So each of these threads is not its own unit (as it would be in an algebra book) but instead appears in every unit.  Topics are almost always seen many times, each time going deeper and into different contexts.  That is intentional so that students learn and also take understanding into long-term storage.

To create learning, which is our utmost goal, we have to sequence and pace content very thoughtfully.  For example, slope as a rate of change is a really important idea that has some subtle features.  Most texts teach slope on one day and apply it almost always with 2 points or with an equation of a line.  We start with the idea of rate of change in the first 2 weeks and continue going with that concept into different mathematical settings and formalize it at a specific point, once students have more understanding.  We develop slope throughout each of the 4 units.  It takes a long time.  But in so doing, I can ask a student at the end of the semester if a situation is linear, why or why not, what is the rate of change, what does it mean for this context, etc. and they can answer all of the questions well.

The fact that MLCS uses interesting activities to learn content is the tip of the iceberg of this pathways course.  A micro view gives the impression that the only difference is the use of context.  A macro view shows a much more complex structure designed to elicit learning.  Each lesson, unit, assessment, and project has a role in developing long term understanding.  Much like the homework is deliberate with each problem serving a particular purpose, each component of the course is also deliberately chosen.  The result is a visible progression of learning with each student over a semester and the shift from the developmental level to the point of college readiness.  

And maybe along the way, we'll have some fun too.

Math Lit Book Coming Soon!

Our textbook for the MLCS pathways course, Math Lit, releases the first week of July.  The MyMathLab course that accompanies the book goes live the first week of August.

Here's the final cover:

Pathways MOOC Update and Florida Legislation on Remedial Math

Yesterday was the first day of the pathways MOOC that I'm teaching with Heather on Canvas.  Registration is still open if you'd like join.  Follow this link to register.  Here's a picture of the front page of the course:

The course is already active.  I hope to see that activity level continue to grow.  It's fun and informative to talk with other educators and learn from each other. Somewhere we reached a tipping point about developmental math education in the U.S.  It's still a challenge to pilot pathways courses like MLCS in some schools and states but those walls are coming down all the time. It's not that algebra isn't important; it's that it's not the only thing that is important.

Related to pathways, I read an article in the Orlando Sentinel recently about changing legislation on remedial education. It reminded me very much of the changes in Connecticut.  The idea is that we are preventing students from taking college level courses and that with enough support, they can be successful.  Again, if you've taught developmental math and worked with adults who function in terms of reading and math at the 4th grade level, you know that putting them in statistics and just going slower with more tutoring isn't going to make them succeed.  I wish it were so, but it just isn't.  As math teachers, we've all seen students take a course repeatedly and fail it repeatedly.  We know that if they just went back and took the prerequisite course, they would save time and money in the course they're struggling with. You can sit me in a thermodynamics class and go really, really slow and I'm still not likely to pass it because I do not have the foundation skills and knowledge needed for that course.  That is a fundamental truth about some developmental students that has to be addressed and not ignored.  But that's not true for all students.  That is why we need a variety of options for developmental students because one size does not fit all.

One part of the article was encouraging, though:

"Those who take do remedial courses starting in 2014 will be given more options for getting help getting on track, including remedial classes with accelerated schedules. Colleges must submit plans for restructuring their programs to the state by March and make those changes by fall 2014."

Pathways courses like MLCS qualify as a  class with an accelerated schedule.  Most students nationwide who place into developmental math, place into beginning algebra.  That allows them to take MLCS.  And the course is one and done.  Meaning it's one semester. And after it, students can take the commonly required college level math courses like statistics and quantitative literacy.

I believe there are workarounds for other students in developmental math.  For students who don't place into beginning algebra, they could be put in bridge programs using products like MyFoundationsLab.  Not to learn the entire math sequence as an emporium model does, but instead to get the knowledge needed to take a course like MLCS.  Bridge programs do not count as courses, but do fall under placement, something the legislators want to improve as well.

For students headed to the STEM track but who still need intermediate algebra, that content could be integrated with college algebra and possibly make both courses better by making one, strong college level course.  Right now, we go so deep into some skills in intermediate algebra that really don't necessitate that for success in college algebra.  We could cut out some of the overly complicated problems for favor of getting the big idea and being able to use it (a philosophy we use in MLCS) and then move into the college algebra topics where the skill is actually used.  Let students learn the content at an appropriate level and then show them why we taught it.  We could also dramatically reduce the overlap between intermediate algebra and college algebra.  This is related to an idea we use in our college's traditional algebra redesign:  cut out overlap and spend more time on each topic, encouraging mastery and understanding.

All is not lost, but some creative thinking is needed to make things work for all developmental math students.

What will we be doing in the pathways MOOC?

It's interesting to me how MOOCs are affecting higher education.  I'm not interested in using them for traditional courses, but for professional development and training, I think it could be a sound option.  In a perfect world, I would travel to each school that has asked for training and interact with their faculty using lessons and problems.  We would address the questions specific to that college and help instructors feel confident and usually quite excited to teach this new type of developmental math course, a pathways math course.

Unfortunately, real life makes that hard.  I just trained a school last week and enjoyed it tremendously.  They were lively and engaged and it made for a great day.  When possible, that's my goal:  to have to face to face training.  And I do that often.  But when that's not possible, a MOOC can provide a large reach more efficiently.

Our goals for the MOOC are still the same as with the face to face workshops:  engagement.  We want instructors working, talking, thinking and above all, interacting with each other.  These are the same goals in our pathways classrooms.  When those events happen, learning happens and people leave feeling their time was well spent.  We want that to happen in our MOOC as well.

So, what exactly will we be doing?  If you will take the course, this is what you'll do:

First, you will learn about the history of pathways courses.  We don't want to assume everyone knows the difference between Quantway and MLCS, for example.  So we delve into where pathways courses have come from and the timeline of their development.

Then we talk about philosophy.  That is, the philosophy of these courses and your philosophy of teaching.  We want to challenge you to see how you think math should be taught and how that aligns with the approach of these courses.  Often instructors are really excited about teaching these courses, but get uncomfortable when they see a different topic order or they don't see their favorite algebraic method taught when they used to.  Understanding your beliefs and the approach of the course will help make for a smoother transition.

Next we work on what it looks like to solve real problems as opposed to the traditional "word problems" usually seen in textbooks.  We will work on the challenges these problems pose in the classroom and how to overcome them.  We will also work on the role of algebra in pathways course.  It's present but it's different too.

Then we'll move into group work and assessments.  And we'll close with implementation at your school.

Throughout the course, we will have activities to help you explore something, learn something, and put that learning into practice.  This is the same approach we use to teach a pathways lesson.  You will talk to other faculty about challenges, ideas, questions, etc.  We are not the sages on the stage.  We'll share our ideas and experiences but we will also really want to hear from you.  We are lucky to have some participants who have already taught the course.  They can share their experiences so that you'll hear more than just what happens in Heather's classroom and mine.

We will work on a larger project for most of the course that will really allow you to dive into a challenging aspect of the course:  open-ended projects.

By the end of course, you should feel confident and ready to pilot with comfort both in terms of how the classroom will work and also in terms of implementation at your school.  Because we will have a large number of students, we probably won't be able to answer every individual question.  We will do our best to do so, though.  And the peer interaction will also help.  We don't want anyone leaving feeling like their questions are unanswered.

This course should provide growth for the novice pathways instructor to more experienced instructors who have taught a pathways course.  If you just want to observe and learn about them and see what others are doing, that works too.  But the more involvement we have from you, the better for all involved.

Interested?  Go here to register.

MOOC registration going strong, new webinar recording available

If you haven't registered for the MOOC we'll be teaching this summer for Canvas, please do.  Our enrollment is increasing at a great pace.  Click here to register.

Also, I gave a webinar about Math Lit and MLCS a few weeks ago for Pearson.  Here is a link to the recording.