Problem Solving Maps (Australia)

Become a master math coach to help children be better problem solvers

Whether you are a teacher, homeschooling, a tutor, or just a parent trying to help your children, the Problem Solving Maps methodology covered in this course will dramatically improve your ability to help struggling math students.

Problem Solving Maps (PSM) makes thinking visible by depicting three crucial thinking processes--inductive thinking, deductive thinking, and analysis--which are relevant skills needed to solve math problems. The generic structure of the PSM ensures that they can be used to learn math across multiple topics and grade levels.

You will learn how to break down math problems into manageable parts and use the right tool so that children can develop the self-confidence and the problem-solving skills to tackle math problem in a systematic manner which can lead to better performance.

One thing is clear. The jobs of the future will require specialized knowledge in mathematics, computing, and engineering.

Are your students going to be ready?

Problem Solving Maps (PSM) have many advantages

  • Instructors, tutors or parents can use PSM to teach a large variety of topics
  • PSM do not take a long time to learn
  • Students learn thinking and problems solving skills that are transferable from one math topic to the next
  • PSM are very effective to diagnose where students are having trouble
  • PSM are ideal to promote cooperative learning
  • With PSM, students can have better notes to study
  • With PSM, student can improve self confidence and performance

Read about successful users!

Karyna won a Teaching Excellence Award for best improvement based on the results of her senior high school class on the PRUEBA ENLACE, an annual standardized test. Karyna credits her success to using the Problem Solving Maps methodology in the classroom!

Karyna Lopez, Ikalo School in Leon, Mexico

I attribute much of the success of my Math students to the use of the Problem Solving Maps (PSM). One particular group that has maintained an “A” average in Math are my 7th grade students. My 7th graders started attending my center in the 6th grade and during that time, I introduced them to the PSM. This mathematical tool helped my students understand different concepts in Math, which are crucial to their success not only in school, but in preparation for the Math portion of the ACT and SAT Test as well.

I have also had much success using PSM on my developmental students at a local community college. I used PSM to teach my students, among other things, how to understand positive and negative integers. A great majority of them maintained a “B” or better in the class throughout the semester, which is a great accomplishment for those students that struggled with Math prior to taking that class.

Felesia Harrel, owner of College Bound Academic Learning Center in Saginaw, Michigan, offers all subject tutoring with main focus in Math and ACT and SAT Prep

We have observed that with Problem Solving Maps (PSM) students get a deeper and quicker understanding of math concepts for topics which are usually challenging. Even more important, students are not only mastering academic concepts, but they are also acquiring skills that can be used to make critical and logical decisions in life. PSM methods are without a doubt a cutting edge process to teach quantitative and logical reasoning skills.

Maciej Winiarek, Thinking Zone Middle School in Gdansk, Poland

"Just wanted to share with you how much my students are benefiting from using your thinking routines. My students are the ones with cognitive impairments, and we are using them for fractions. We've used the Examples-Conclusion Graph 4 times so far with outstanding results. Today, when I handed them out at the beginning of the lesson, one of my students exclaimed, "I LOVE these!! We should use them every day!" When I asked what it was that he liked so much, he said that it helps him understand things. Another student said that she likes them because she likes being asked to write what she thinks first, and that it helps her. All of the students agreed with both statements.

Thanks for taking the time to teach us such a useful tool."

Kimberly A. Buscarino
Carrollton High School


"[Math] builds skills that allow people to do things they might otherwise not have been able to do or experience. If I learn mathematics and I become a better thinker, I develop perseverance, because I know what it's like to wrestle with a hard problem, and I develop hopefulness that I will actually solve these problems. And some people experience a kind of transcendent wonder that they're seeing something true about the universe. That's a source of joy and flourishing."

Francis Su, former President of the Mathematical Association of America


Your Instructor

Dr. Danilo Sirias
Dr. Danilo Sirias

Dr. Sirias has a Master’s degree in Industrial and Systems Engineering and a Ph.D. in Business Administration. He is also a certified Critical Chain Project Manager and a certified TOCICO thinking process implementer. Dr Sirias created the Problem Solving Maps methodology to teach mathematics which is currently being used in several countries to improve student's performance.

Class Curriculum

Research Results!

Oliver Mariano presented his PSM research at the 2016 Special International Conference in Mathematics Education.

From his abstract:

"At the end of the seven-week experimentation, the study found out that the students who were exposed to the use of Problem Solving Maps embedded in a Cooperative Classroom Environment had better achievement and attitude towards Mathematics compared to those who were taught using the Traditional Method. Moreover, the Problem Solving Maps reflected improved thinking skills (i.e. inductive, deductive, and analyzing skills) among students."

Frequently Asked Questions

What if I am unhappy with the course?
We would never want you to be unhappy! If you are unsatisfied with your purchase, contact us in the first 30 days and we will give you a full refund.
Are Problem Solving Maps appropriate for any grade level?
PSM are more appropriate for instructors teaching from Grade 3 until College level courses.
Do I have to be present at a specific time and day for the course.
No, the lectures are available for you to watch at any time is convenient for you. Any questions you may have can be posted in the discussion boards and the instructor will reply in 24 hours.
I am not interested in the course but would like to sponsor a teacher, can I do that?
Yes, please email us at to make arrangements.
I am a school administrator and would like to train all my teachers. Is there any way we can have a dedicated class?
Absolutely, we can create a dedicated course for any school who wish to do so. Contact us for more details.
Can I see some more information about Problem Solving Maps?
Yes, we have a Facebook page you can check at If you like the page, you can keep getting new information about the methodology.

Get started now!