Answer: Yes
Actually, most schools that use Math Lit use it for a 4-credit hour course. Illinois has certain requirements that raise the credit hours needed from 4 to 6. But a 6-credit version of MLCS is not common outside of Illinois.
There is a lot of content in Math Lit to allow schools to choose the topics they want for their 4 credits. We did some research to find out what topics schools want in their 4-credit versions. The results showed a large amount of variation in the topics covered. Some schools want geometry, others want more algebra topics. Some want more statistics while others want a course that has a lower prerequisite. So we couldn't remove topics to make the book 4 credits without removing options for schools and states. We did not want to dictate what this course looks like. It looks like whatever a schools wants it to.
We built the book with the idea that schools would be picking and choosing topics to meet their local and state requirements. To allow for that, we marked several sections in the table of contents that could be omitted without a negative impact later in the course. We have schools using various sections throughout the book while others basically use the first half or the last half. The most common approach is to use all of Cycle 1 to set the foundation for the course and any necessary sections from the remaining cycles to address the topics of the school's choice.
Additionally, Heather and I work with schools to help them choose which sections to cover. If you are planning a pilot or have adopted the book and want some ideas for choosing sections, please email us. We will go through your goals in terms of topics and what courses you want MLCS to feed into to determine what can be deleted or reduced in terms of coverage to meet your goals. There are a multitude of ways to mold the book to meet your needs.
Math Lit Toolbox
- 2017 Webinar Math Lit 5 Years Later
- Math Lit Forum
- MLCS Book: Math Lit
- 2014 Math Literacy webinar (Youtube)
- Math Literacy Training
- 2013 MLCS Presentation: What is Math Literacy? (Youtube webinar)
- MLCS syllabi (objectives and outcomes)
- 4 Credit Hour Math Literacy Course Syllabi
- A Typical Day: Math Lit classroom videos
- Math Lit instructor support
- Math Lit FAQ's
- Implementing Math Lit Presentation (Youtube webinar, PPTs, & handouts)
- Implementation blog series
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Tuesday, October 8, 2013
New FAQ series starting on the blog
I'm starting a new series of posts, each one addressing a question I receive often. Many are related to our book, Math Lit. Others are about the MLCS course. Questions include:
Please check back often. I'll be posting responses to all of these very soon.
If you have a question you want answered that isn't listed above, please post it in the comments.
- Can I teach the MLCS class as a 4 credit class using Math Lit?
- Does Math Lit include factoring?
- Why are the topics in the book ordered in that fashion?
- Do I have flexibility using Math Lit?
- Is there enough algebra in Math Lit for students to be successful in intermediate algebra?
- We have an emporium model at our college. Is there a way I can use Math Lit?
- How is MLCS different than Quantway, Statway, and the New Mathways Project?
- What is the Math Lit approach to statistics preparation?
- What is the prerequisite for MLCS or Math Lit?
- How does MLCS relate to the Common Core?
- Does MLCS dumb down developmental math standards?
- Do you provide training?
- Will you offer the MOOC again?
Please check back often. I'll be posting responses to all of these very soon.
If you have a question you want answered that isn't listed above, please post it in the comments.
Friday, August 9, 2013
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
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. Thursday, June 27, 2013
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
Wednesday, June 19, 2013
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.
Sunday, June 9, 2013
Math Lit Book Coming Soon!
Tuesday, June 4, 2013
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.
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.
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