REVIEW POST: Primary Grade Challenge Math - Zaccaro

(UPDATE 10/28/14: We have added Upper Elementary Challenge Math to our repertoire and couldn't be happier :) See the associated Montessori Trail post.)


Legoboy has another New Love:

Challenge Math by Zaccaro

We are starting with this one - covering grades 1-4 for "gifted children".

I ended up purchasing the entire of books in this series for several reasons:

1. looking for a good set of word problems to review earlier concepts
2. Montessori math and geometry do not align with any other available curriculum (I group the Montessori-inspired curricula options somewhere in the middle)
3. Something just didn't sit right with me concerning the other options. They are useful; I will not say don't use them (especially if they are working great for you! Keep going with what works!) - but there was a mis-match for our family, my principles and my understanding of Montessori. 
4. This set of books (there are several in the series) are designed for gifted children - children of younger ages who have particular gifts that correspond with typically older children. 
5. I wanted to review them for the sake of other families looking for a resource to fill a similar need. 
6. This series also includes some of those allegedly missing concepts, perfectly tying them into the included album pages (associating money with decimal fractions, converting into percents, etc. (NOTE: Please do not flame me in comments regarding missing concepts - I've covered this topic before, I am not saying Montessori is wrong, and I'm not saying the concepts aren't there - I am fully trained, I know where the concepts are and where they fit in. Comments of a flaming nature will be removed. I'm done with flaming when I speak peacefully. Thank you for speaking respectfully.)

Word Problems: 

     A few people have shared a few solutions to the dearth of word problems - and the lack of time to create their own (and my lack of time to create my own!) for each and every concept. Especially in a sporadic co-op/tutoring, mostly homeschooled by himself situation, there just aren't classmates around to pull up the caliber - and I am one person unable to cover everything (stop laughing!). ;) 

Montessori Mathematics and Geometry Studies: 

     Montessori math and geometry use hands-on materials to bring the children to the point of abstraction. In some areas, it seems that the children hold on to the materials longer than their public school counterparts, but once they release the materials, they are almost always ahead in conceptual understanding. Where we have children not able to apply the concepts, we have a situation where the adult likely didn't assure the child was working with appropriately challenging work and likely didn't ensure there were appropriate real life word problems and experiences available. 

Not sitting right: 

     What is about the other options that didn't sit right? I think because they are geared towards public school curriculum, several of the options have already been re-written to correspond to Common Core (the dumbing down of our country's children), and I just don't want to participate. 

     In addition, I really wanted something that more closely resembled Montessori. Life of Fred is a great complement to Montessori elementary mathematics but there are few word problems. 

     I think this is my main thing - I don't want to dig into 4th grade books to find word problems to give to a 1st grader, just to find math skills that fit.  

Young Age - Older Work: 

     Isn't that the mis-match of Montessori to other expectations again? 

Perhaps my reason are the same thing over and over - with different words: I wanted something that better corresponds what we are doing as compared to constantly tweaking, reading, adjusting, pulling "7th grade" materials for a 2nd grader who isn't "special" in that way, but simply has been given the tools to go deep with his understanding.... I was (and am!) tired of tweaking already!!!!

What we are using: 

     Legoboy is 1st year upper elementary, or 4th year elementary - and I would NOT say he is gifted in this way. However, he has received the keys provided through Montessori throughout his life. As a "4th grader", we started with the primary level book to review past concepts - kind of catch up in the word problem category. We did great for 1st-3rd grade, but I'm done tweaking (have I said that yet!?) and I have to be done looking too. 

Legoboy loves it! He is actually working out the math in his head or on paper as needed, then he challenges me with it. Even with Life of Fred, I have to "encourage" him to record any work, or answer out loud. He just wants to read the story (although he can do the math in the books). 

How it is set up: 

Each chapter contains some background/how-to-solve information on a particular topic - most is review for Legoboy, some is new or said in a new way. Then there are 4 pages of problems - 1-2 page(s) for each "level". The chapters can be done in any order, but easier concepts are towards the beginning. Chapters can cover a variety of topics but are generally somewhat grouped together.

The four core books we will be using are the following: 

1. Primary Challenge Math - grades 1-4: Includes chapters on Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. This book includes topics that Montessori has in upper elementary. Guess what? That tells me it is likely to trust a child's abilities and correspond well. I am NOT disappointed. 
2. Upper Elementary Challenge Math - grades 3-5 (this is available for pre-order, shipping in April)
3. Challenge Math - grades 4-9: Includes chapters on Astronomy, Algebra, Problem Solving, Percents, Fractions, Decimals, Ratio & Proportions, Physics, Statistics, Probability, Metric System, Perimeters, Area, Volumes, Trigonometry, Calculus
4. Real World Algebra - grades 4-9: Includes chapters on Language of Algebra, Geometry and Algebra, Proportions and Algebra, Physics, Levers, Pythagorean Theorem, Percents and Algebra, Simultaneous Equations, Algebra and Money

We also have the following that at first skim have been great: 

• Becoming a Problem Solving Genius: A Handbook of Math Strategies
• 10 Things All Future Mathematicians and Scientists Must Know (but are rarely taught)
• 25 Real Life Math Investigations That Will Astound Teachers and Students
• Scammed by Statistics: How we are lied to, cheated and manipulated by statistics and why you should care

I am working on something of a correlation between the AMI mathematics album and these books - slowly creating a correlation. I will share this on the Keys of the Universe Discussion Community in Excel format and will likely post it on this blog at some point in pdf format (this will happen faster if those who are interested, let me know - I'll prioritize it ;) ). 

Sample - Chapter 4 - On Money