EXPERT MATH

How can stu dents feel autonomous when lessons are pre scribed? Just as we do not per son al ly build the vehi cle we dri ve to work-we do oper ate it; and if we are able to do so safe ly get ting to the next des ti na tion, we can feel autonomous ly com pe tent. This is true for use of any tool. Logo's gen er a tive prop er ty sup ports excel lent acces si bil i ty to the nuances and strict sub tleties of math e mat ics, dis tin guish ing it from any oth er math e mat i cal tool. Logo enables learn ers to feel a gen uine sense of auton o my as they gen er ate and oper ate the essen tial expres sions of each math e mat i cal lesson... Back ground the o ries at work. Ped a gogy, the o ry, social-cul tur al tools ZPD and "tools" should be lead ing facil i ta tive process (con trast with con tent) Fine-tun ing the col lab o ra tive peer inter de pen dence part will car ry the chal leng ing days. Gen tle reminders that, "we are in this togeth er; we help each oth er suc ceed" (cou pled..