Mathematics: An Instrument for Living Teaching ??….thoughts/discussion

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  • greenebalts
    Participant

    Something that struck me while reading the replies here and Richele’s PM is how philosophical this all seems to me at this point.  I greatly enjoy reading the forum posts as well as Mathematics An Instrument for Living Teaching. The language is beautiful and the idea of the end result is what I hope to achieve.  However at this point, it all just seems like words.  I long for application because it seems I’m still in the concrete phase and need more practical teaching, if you will.  Maybe I’m thinking too deeply?….but I believe depth is what I’m aiming for 🙂

     

    Tailermade, I admire your post and see the value in intellectual truthfulness.  It appears that you have the depth I desire in this area.  I’ve been assigned to teach a character trait over the course of the next couple of my dd Keepers at Home meetings.  Maybe intellectual truthfulness would be THE trait to teach!

     

    I appreciate this discussion and hearing other’s thoughts. 

     

    BTW, I just purchased Singapore math for our dd, 4th grade.  I made sure to purchase the Home Instructor Guide and in looking at it, I’m glad I did!  The program encourages concrete math first, using manipulatives and games for teaching.  Then eventually adding pictures through a “textbook” and finally workbook pages for reinforcement.  There are fewer topics studied, allowing teaching to go deep rather than wide.  My understanding is this will be more in line with Charlotte’s teachings.  Singapore also has a very strong commitment to mental math.  We used placement tests and opted for a lower level to go back and teach missed concepts.  Though we haven’t started yet, I love the way the Home Instructor Guide lays out how to teach the concepts.  I’m excited!!

     

     

    I also PM’d you Richele. 

     

    Looking forward to more discussion here…..

    Richele Baburina
    Participant

    I am also enjoying having all this brought up and hearing everyone’s thoughts and experiences is helpful to me in a practical way as well. One question on forum etiquette, does everyone prefer to be called by their avatar name? I never understand which name I should use 🙂 Thanks for any responses.

    sheraz’ comment reminded me how at the beginning of our own homeschool math journey I had to overcome my fear and feelings of inadequacy in teaching my children math. I had the quintessential “bad math teacher” experience myself and didn’t want to instill that on my children. Sonya (SCM) has a great mp3/cd called “Looking Past the Fear” that really helps in every area of fear in our life but deals directly with homeschooling fears. 

    greenbalts, it is hard to unravel the philosophy from the methods, they are so interconnected in a CM education so many do begin with the methods as the philosophy takes hold. The other chapters in the handbook look practically at the “how.” Personally, I find the handbooks invaluable to implementation but also find it extremely important to read through the original volumes at my own pace. There is a storehouse of treasure in CM’s volumes but that treasure we dig for ourselves.

    I do believe the Lord wants to help us with the things of everyday life and every area of instruction, and we don’t need to restrict His involvement to the impartation of virtues only. Charlotte Mason encouraged people to realize the continuous exchange (conversation) we have with the Lord. She says, “It will be to us as when one stops one’s talk and one’s thoughts in the spring time, to find the world full of bird-music undeard the instant before. In like manner, we shall learn to make pause in our thoughts, and shall hear in our intellectual perplexities, as well as in our mora, the clear, sweet, cheering and inspiring tones of our spiritual Guide.” (The Great Recognition, PR, Vol. 7, pp. 52-59). 

    Oops…I’ve got to run unexpectedly but will chime in on the other questions as soon as I am able.

    Have a peace-filled day!

    Richele

     

    TailorMade
    Participant

    This article isn’t directly related to math, but it is an example of “the thing, is the thing.”

    http://www.charlottemasoninstitute.org/beyond-dust-particles-an-experiment-in-sunday-school-by-amy-fiedler/

    While it’s concerned with Sunday School methods, I wanted to note that the author realized that all the bells and whistles assumed necessary for Sunday School were actually standing in the way of The Word. I think of Jesus saying, “Let the children come to me.”

    For math, I see it this way. In the early years, don’t fret over workbooks and texts. (I’ve only had one want a textbook early on…our youngest….most likely because she’s always seen her older siblings using books for math.) I’m not knocking Ray’s, or Right Start, Rod and Staff, or MUS, Singapore, or any other resource. I’m just mentioning that if these aren’t available, disaster is not right around the corner. Every day life offers so many ways to find concrete examples of math.

    When our children were tiny, I bathed them in the tub with me. I sang songs to them. “Jesus Loves Me,” nursery rhymes, and we counted. Counting fingers, toes, hands, feet (“one foot, two feet,”) shampoo bottles, tub tiles, toys… As they grew bigger, we counted more things. None of this was tied to written numbers. Outside, swinging time was a very deliberate routine for me once they were big enough to be pushed in a “big kid” swing. I pushed them 100 times every time we went to the swing. Guess what? This “rule” was how I helped them learn to count to 100.

    At the same time, we also used living math books and board books that were related to math topics. I remember one math board book being read over and over and over. It only covered 1, 2, 3, 4, and 5. Pointing and counting. Counting and pointing. That connected those numbers with amounts previously understood concretely in the tub. A bit later, bigger numbers, understood on the swing, were discussed with written numbers.

    I have my kids cook and bake with me from very young. They count eggs, use timers, measure ingredients, and more. They have almost learned these forms of math completely prior to tackling them with the abstract texts/workbooks. The light is usually already on by the time they study these concepts with formal textbooks.

    How does this look on a schedule? Short lessons. Math each day. Choose a topic, decide on a real life activity that can introduce the concept, and practice it off and on for a few weeks, or longer. Then, demonstrate it through the text/workbook. We’ve usually waited until about 3rd-4th grade age before using formal texts. Our youngest began using Rod and Staff at 5…the first grade workbooks were used over a two and a half year period. She’s 7 and will move directly into their 3rd grade text next month. (2nd grade R&S is basically a year of facts practice, but she’s had that as part of her life for quite a while through sing song habit and xtramath.org.)

    I’m hoping that this moves from philosophy to practical application. I did not mean to sound confusing. I’ve been so excited about the change our 13yos has seen just through moving it from the practical (which he’d begun to view as mundane) to the spiritual. He’s at an age to make that leap. I am at a place to be able to “see” how I could have approached is much differently for him and for our older children much earlier on. So, I’m hoping to do that with our youngest.

    This conversation is helping me to understand so much more. Thank you for starting this thread!

    Oh, I can be Becca, or TailorMade. It makes no difference to me. At times, I forget to sign my name, or need to send and get busy with other things. I don’t always remember names if they aren’t part of posts. So, if I direct a reply to a particular person within a conversation, I use their avatar name if I don’t see their name name in the post. ;0)

    Richele Baburina
    Participant

    Some more things…

    erin.kate – Unless I find something better fitting to CM’s methods, I am planning on using Ray’s New Arithmetics through 8th grade (Primary, Intellectual, Practical & Higher). We are mid-Intellectual currently. The books dovetail well with the SCM handbook and I review CM’s methods so I have them straight in my mind before each new concept is introduced. For the mental drill part of our day the kids and I come up with our own questions that relate to them, their interests and their life.  We have added “Lessons in Experimental and Practical Geometry” once a week and reduced our elementary arithmetic to 4 times a week. Our kids love the practical geometry. Next year we will also add SCM’s business math as I know my kids will love it.  

    One can get the 8 volumes of Ray’s for less than $70. (Give me grace here as I truly do not want to be self-promoting but math- that-points-to-God-promoting) Add in the SCM handbook, SCM business math, practical geometry and your own manipulatives and you’ve got 1st through 8th grade covered for roughly $125. 

    Currently, I have Harold Jacobs’ books on my shelf for highschool use. I’m currently looking at some other things that I’ll let you know about in the future.

    How long do you do oral math? This follows closely with her methods in reading, handwriting, using oral narration and moving into written composition. You don’t want the ideas in math to be drowned out by the laborious effort of writing. As handwriting becomes easier for a child, more written work is added and there is less done orally – though mental math remains important.

    @Becca I attended Tammy Glaser’s session on “Teaching a Foreign Language When You Don’t Speak One Yourself” at the Living Education Retreat and saw so many correlations to CM’s maths. I am a recovering mathophobe and had to have a math tutor for both Economics and Chemistry at university. Only in the last few years, thanks to Charlotte Mason’s writings, have I come to realize that — not only can I do math but I enjoy doing it. 

    @greenbalts, Bobby Jo attended my multiplication immersion at the LER and blogged about it. Here is the link if it helps. You may find what she has to say very practical in nature.

    @my3boys, where exactly is your son in the memorization of math facts? If he is using a variety of manipulatives and he has a variety of interesting questions that relate to real life, this will help him in the discovery of some of these truths for himself that you are so gently pointing out. I always remember Irene Stephens’ quote that I will paraphrase…there is no royal road to the memorization of math facts but they must be learned. I can try to get my script up on my blog for the multiplication immersion I did if you think it would be of benefit. It is pretty much just rinse and repeat for each subsequent number with a continuous review of the numbers learned. The way CM lays it all out is different than the few math curriculums I’ve seen and it definitely secures the child’s understanding of multiplication while they drill the facts.

    R

    my3boys
    Participant

    @Richele, where is he??  Good question.  I don’t really know, but I know I need to find out.  He seems to have a hard time with the 6’s, 8’s, and probably a few more.  In some ways I feel we need to start over and just do some brief review to make sure some things are understood, like: place value and some addition facts.  We are on to multiplication and I believe he understands the concept but just can’t repeat them quickly, but he does enjoy yelling out sums when he is proud of his computations 🙂  I think sometimes he is guessing and just gets lucky, other times I think they are memorized or he skip counted quickly.  How do I go about knowing what he knows for sure??  Would just going down the line, 0x1, 0x2, and so on, and filling out graph paper with the correct answers to create a multiplication table “show” what he does know?? We could then work on the ones he doesn’t, then fill them in as it is solidified??  I really don’t know how to help him build confidence other than use an online drill, like MUS, so he can gain instant gratification.  I try to keep his lessons short, but I think he is getting bogged down and needs a break from our traditional text.  He would love some oral work, but I succumb to the ease of pulling out the text, I’ll admit. 

    I will continue to read the handbook and look into Ray’s.  Thank you in advance.

    greenebalts
    Participant

    Thanks for that link Richele.  I just read the post. 

     

    In regard to building a multiplication table, or filling out the table, are you just giving the child a blank table and letting them fill it in?  Do you provide a completed table for them to copy?  How long to you allow them to work on it? Would this be consistent with that 4th grade 30 minute teaching?  Also, I’m under the impression you would provide manipulatives.  Is this correct?  Maybe I have yet to read about this in Mathematics An Instrument for Living Teaching?

     

    I don’t own Ray’s.  However, I attained a copy of James B. Thompson’s Complete and Graded Arithmetic from 1884 at a used sale.  I recently found the first book in the series on Amazon titled First Lessons in Arithemetic, and am waiting for it to arrive.  It’s coming from Maine and is an original copy written in 1882.  Do you have any knowledge of this series?  It looks similar to Ray’s.  Here’s the free version….

     

    https://archive.org/details/firstlessonsina00thomgoog

     

    Thanks again for all your time and effort,

    Melissa

     

    P.S.  I don’t mind Melissa or greenebalts 🙂

    erin.kate
    Participant

    Many thanks, Richele. This is all so helpful. I’m going to give Ray’s a try with my 3 oldest this week to see how it translates to our real life. 🙂 My children have used MEP and Life of Fred, but MEP was much much to time intensive for *me* … not that I don’t want to sit and teach each child, but I was spending about 2 hours a day teaching math. We transitioned to LoF solely, and while I like the math, I am feeling that there is more story than math in these early years and my oldest is not being challenged, but we can’t really move ahead or the story is lost.

    Over the summer I read Mathematics: An Instrument and I was so completely taken with its beauty and logic and simplicity. I’ll be rereading this week. This has been such a good thread.

    erin.kate
    Participant

    I’d also love to learn more about the exercise you did at the retreat with the multiplication table, Richele. 🙂

    TailorMade
    Participant

    Our experience with tables comes from a Montessori background. We didn’t have Montessori specific materials (they tend to be costly,) but did do some floor work with objects in a similar fashion from time to time. I’m not sure this will be well received as some do not see CM and Montessori methods working well together. They do at our house.

    Here’s a YouTube video that demonstrates the multiplication board with Mspecific materials. You can use cereal. ;0)

    http://www.youtube.com/watch?v=jN5zKYXCtpY

    I’m not trying to send you in a Montessori direction. This is just another activity that we’ve used at home. I tend to use a variety of hand’s on activities in the early years. This is one that worked well when we used it. It’s just a formal grouping activity.

    erin.kate
    Participant

    Richele ~ When you have a few minutes …

    I’m looking here at Ray’s Intellectual to begin with my 4th grader who will be 10 next month. She’s done MEP and is through division (not long division). Looking also at the CM Scope and Sequence in your book on page 47, would I then spend the remainder of this year on addition, subtraction, multiplication, and division and wait for Fractions (in Intellectual) for 5th grade, next year? Or should I go at my daughter’s pace and carry on into Fractions? She can certainly use the review and practice of what I’m seeing in Ray’s (the four processes) … wow, this *is* math! 🙂

    Also, can you sort of lay out how *you* use Ray’s over the years. As in, which book(s) for which grade(s)?

    Thank you so much! I have never been as excited about math (I studied Shakespeare in college … English is my niche) until your book, which has illuminated the beauties of math for me.

    Richele Baburina
    Participant

    No promises but I hope to be back soon to attend to the questions on the forum as well as post on multiplication on ye olde blog.

    Just wanted you to know erin.kate that I saw them.

    …It is joy unspeakable and full of glory…

    R

    erin.kate
    Participant

    So grateful. Anytime.

    Richele Baburina
    Participant

    Okay, the first multiplication post called Multiplication using Charlotte Mason’s Methods is up. 

    erin.kate, I’m with you. Had someone told me in highschool that Geometry was the art of measurement or shown me the Fibonacci sequence I think I would have been inspired to work harder. Thank you for your encouraging words.

    If your daughter is ready to start fractions, go on ahead. As for review, CM began each year with a review and then daily reviewed what was learned in previous lessons during the last five minutes of class as well as another 10 minutes scheduled at a different time during the school day. 

    The suggested grade levels are just that: suggested. I have one child “ahead” and one “behind” but am content to go at their pace while being sure to be consistent with them. The teacher’s guide (not correlated with the SCM handbook) shows Primary – Grades 1 & 2, Intellectual – Grades 3 & 4, Practical – Grades 5 & 6, and Higher – Grades 7 & 8. Since Ray’s isn’t numbered, we should feel comfortable placing our children according to their needs.

    @greenbalts, Multiplication is laid out in the chapter titled “Elementary Arithmetic” of the handbook. The child first constructs a multiplication table using manipulatives (pennies being the preferred object) and works with that before the teacher guides them in how to construct a written table. A table is shown in the book and each number gets its own table. There is a partial picture of one in my child’s math notebook in that blog post I just posted as well.  I haven’t looked at Thompson’s book yet.

    All my best,

    Richele

    greenebalts
    Participant

    Ah, each number getting it’s own table…this is helpful!  I was envisioning the times table of my childhood with numbers across the top and side with squares to fill in

     

       1 2 3 4 5 6 7 8 9

    1 1 2 3 4 5 6 7 8 9

    2 2 4 6 8 10……

    3

    4

    5

    6

    7

    8

    9

     

    I’m not sure how this will come out on the forum, but hopefully, you get the picture.  I found the table you reference in the handbook on page 35.  The photo on your blog post was also helpful. 

     

    Do you have any thoughts on Singapore Math or RightStart Math?

     

    Thank you very much for your time,

    Melissa

    http://reflectionsfromdrywoodcreek.blogspot.com/

    retrofam
    Participant

    Richele,

    Can you explain why your highschool curriculum choice so far isn’t Ray’s? I was planning to order the geometry one soon for my high schoolers.

    thanks!

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