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

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  • November 4, 2013 at 3:11 pm
    erin.kate
    Participant

    Thank you, Richele. I feel so comfortable now in our direction with math. My kids are really having such a good time with Ray’s … we’re into week 2 now and it’s a cozy fit.

    November 4, 2013 at 3:26 pm
    Richele Baburina
    Participant

    That’s a great question, retrofam. Honestly, I just haven’t gotten to sit down and look at Ray’s Geometry. CM began with practical or experimental geometry, where students learned to handle mathematical tools like the compass and protractor. Through practical exercises in drawing and measurement the children discovered for themselves foundational ideas in geometry. During this time –around middle school — she steered clear of any Euclidian-like propositions and the purpose of each exercise was apparent. 

    In high school, Formal Geometry was begun, with interest in the study already having been obtained through practical geometry. Students now examined propositions and theorems and then would apply their knowledge in practical exercises. Deductive exercises were carried out alongside practical exercises. The idea of each propostion studied was kept in mind as the students discover, through construction and reasoning, its logical proof.

    My recommendation for Jacobs is based on what we see in Charlotte’s philosophy and the above methods. Jacobs also doesn’t “overteach.” From the Foreword written by Doald J. Albers, “[the exercises] are engaging, carefully sequenced, and structured so that students discover ideas for themselves….Students come away from his exercise sets empowered, because the ideas have become ‘their’ ideas. Students…will learn geometry by doing it. The result is that they will enjoy learning a body of integrated concepts that has become their intellectual possession.”

    Ray’s may fit very well for the study of Geometry using Charlotte’s methods and I think it would be really great if it did. You’ve got my hopes up. Maybe you can tell us if it’s a fit. 

    All my best,

    Richele

     

    November 4, 2013 at 4:00 pm
    TailorMade
    Participant

    Our eldest daughter has done well with Jacob’s Geometry. Our younger children will use it when they are ready. Breath of fresh air compared to the Saxon our other children used.

    Richele, I recall a thread in which we discussed using Jacob’s Albegra, Jacob’s Geometry, and a business math resource. That is my plan for our younger children. The idea is to begin Algebra studies for several weeks prior to beginning the Geometry book. Then, a rotating weekly math schedule would look like…

    M-Algebra

    T-Geometry

    W-Algebra

    T-Geometry

    F-Business Math

    Is this still similar to what you are considering to be CM highschool math studies?

    Curious,

    Becca<><

    November 4, 2013 at 8:44 pm
    retrofam
    Participant

    After looking at the descriptions of the Ray’s geometry books, I decided against using them, because they do not include problems to solve. They may be great for others, but we need the package deal at this point. Thanks R, for sharing the info. though.

    Jacob’s sounds good, but is too pricey for me. We are going to stick with Life of Fred.

    Thanks, Tailor made, for suggesting the rotation. My dd is releaved that she can start geometry and rotate, as she is bogging down with algebra every day.

    Thanks so much all! I am learning a lot!

    Retrofam

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