off topic: problemas con los comentarios

No sé cuántos de los que os pasáis por aquí habéis tenido problemas para publicar comentarios. Yo hace tiempo que me di cuenta del problema porque no podía responder a los que aparecían. Desde entonces he intentado resolverlo: primero consultando el problema a los de blogger (sin respuesta), luego consultando en multitud de foros (sin respuesta satisfactoria) y finalmente consultando a mi propia intuición ayudada del sofisticado método de ensayo-error.
Al final creo que lo conseguí, cambiando el modo en el que aparece la ventana de comentarios de debajo de la entrada a ventana emergente.
Espero que de ahora en adelante no haya problemas para que podáis dejar vuestros comentarios (que siempre son bienvenidos y agradecidos).
Un saludo desde la Casa a todos sus visitantes.

The evolution of ideas (an example)

This is a new version of this activity

This activity consists of a text that starts with Tartaglia, Cardano and their competition to find the solution to the third and fourth degree equations and finishes with Complex Numbers and the Mandelbrot Set. It also has some activities for the students related to the text.
In the links below you can find the handouts for the students and the teacher guide. You can also get a couple of videos from YouTube and a GeoGebra applet with interesting representations of the Mandelbrot Set.

The evolution of ideas (handouts)
The evolution of ideas (teacher guide)
Mandelbrot Set 2010 Odyssey (video)
Mandelbrot Set Zoom (video)
Mandelbrot Set (applet GeoGebra)

[1eso] Algebra: algebraic language, equations

Here you can find the materials to develop 14 sessions on algebra (55 minutes/session)
Topics worked: algebraic language, algebraic expressions, creating formulae, numerical value, operations with algebraic expressions, equivalent equations, solutions, first degree equations, solving problems.
Some exercises are taken from a selection made by J.A. Trevejo from Australian text books Mathematics for the International Student, Haese & Harris Publications, 2008.

session 1 (algebraic language): teacher guide, handouts, solutions
session 2 (algebra vs english + guess the number): teacher guide, handouts, solutions
session 3 (creating formulae + numerical value): teacher guide, handouts, solutions
session 4 (like terms + numerical value): teacher guide, handouts, solutions
session 5 (expand and simplify): teacher guide, handouts, solutions
session 6 (operate algebraic expressions): teacher guide, handouts, solutions
session 7 (operations + equations & solutions): teacher guide, handouts, solutions
session 8 (solving equations): teacher guide, handouts, solutions
session 9 (equivalent equations + solve equations): teacher guide, handouts, solutions
session 10 (solve equations): teacher guide, handouts, solutions
session 11 (problems with equations 1): teacher guide, handouts, solutions
session 12 (problems with equations 2): teacher guide, handouts, solutions
session 13 (problems with equations 3): teacher guide, handouts, solutions
session 14 (problems with equations 4): teacher guide, handouts, solutions

[1eso] Assessment exercise 6: algebra / Ejercicio de evaluación 6: álgebra

Look here for the pdf file with the text of assessment exercise 6 on algebra.
Closing date: 8/III/2013
assessment exercise 6

Aquí puedes encontrar el archivo con el enunciado del ejercicio de evaluación 6 sobre álgebra.
Fecha límite: 8/III/2013
ejercicio de evaluación 6

[1eso] Ejercicio de evaluación 5: proporcionalidad y porcentajes

En el siguiente enlace tienes el texto del quinto ejercicio de evaluación del curso. En este caso sobre proporcionalidad y porcentajes, los contenidos del último tema que hemos trabajado en clase.
Recuerda que el plazo de entrega finaliza el viernes 15 de febrero de 2013

ejercicio de evaluación 5

[4eso] Algebra: equations, inequations and systems of equations

Look here for the materials to develop 15 sessions on algebra (55 minutes/session).
Topics worked: polynomial, rational and irrational equations; linear and non-linear systems of equations; one variable inequations; problem solving; use of GeoGebra.
Some exercises are taken from the textbook Matemáticas 4ESO, opción B, proyecto Los Caminos del Saber, editorial Santillana, 2011.

Unit handouts
equations, inequations and systems

GeoGebra applets
equations 1     equations 2     linear systems     non-linear systems     inequations

session 1 (biquadratic equations): teacher guide, solutions
session 2 (polynomial equations): teacher guide, solutions
session 3 (rational equations): teacher guide, solutions
session 4 (irrational equations): teacher guide, solutions
session 5 (irrational equations): teacher guide, solutions
session 6 (any type equations): teacher guide, solutions, handouts
session 7 (linear systems): teacher guide, solutions
session 8 (non-linear systems): teacher guide, solutions
session 9 (non-linear systems): teacher guide, solutions
session 10 (problem solving): teacher guide, solutions, handouts
session 11 (problem solving): teacher guide, solutions, handouts
session 12 (inequations degree 1): teacher guide, solutions
session 13 (inequations degree 2): teacher guide, solutions
session 14 (inequations degree n>2): teacher guide, solutions
session 15 (inequations degree n>2): teacher guide, solutions

[1eso] Assessment exercise 4: fractions / Ejercicio de evaluación 4: fracciones

Look here for the pdf file with the text of assessment exercise 4 on fractions:
assessment exercise 4

Aquí puedes encontrar el pdf con el enunciado del ejercicio de evaluación 4 sobre fracciones:
ejercicio de evaluación 4

[4eso] Algebra: polynomials (operations, roots & factors)

Here you can find the links to eight activities on algebra. Each of them can be developed in a single 55 minutes session.
Topics worked: algebraic expressions, numerical value, polynomials, algebraic operations, expand and simplify expressions, perfect squares, difference of two squares, Ruffini's rule, remainder theorem, polynomial roots and factors, plotting algebraic expressions, use of GeoGebra

act1_teacherGuide      act1_handouts      act1_solutions
act2_teacherGuide      act2_handouts      act2_solutions     combining like terms (video)
act3_teacherGuide      act3_handouts      act3_solutions
act4_teacherGuide      act4_handouts      act4_solutions     plotting polynomials (GeoGebra)
act5_teacherGuide      act5_handouts      act5_solutions
act5 GeoGebra applets
act5_explicitEq_degree1    act5_implicitEq_degree1    act5_degree2a    act5_degree2b

act6_teacherGuide      act6_handouts      act6_solutions
act7_teacherGuide      act7_handouts      act7_solutions
act8_teacherGuide      act8_handouts      act8_solutions
polynomial roots (GeoGebra)

[4eso] Probability

Here you have the links to three activities on probability. Each of them can be developed in a single 55 minutes session.
The two first activities may be used at the beginnig of a unit on probability; third one consists of two problems to be solved by the end of the unit.
Topics worked: probability vocabulary, random experiments, sample space, outcomes, events, conditonal probability, probability assignment.

act1_teacherGuide         act1_handouts
act2_teacherGuide         act2_handouts         act2_solutions         [en español]
act3_teacherGuide         act3_handouts         act3_solutions
theory: brief summary       [en español]  

[1eso] Rational numbers / Números racionales

The set of the rational numbers is formed by all the numbers that can be written as fractions, namely quotients of integer numbers. This quotients may yield a whole number or a decimal number, but not any kind of decimal number.

Find here the materials we are going to use in this unit on Racional numbers

Topics worked: fractions, arithmetics and aplications; decimal numbers, arithmetics, errors and approximations, aplications; relation fraction/decimal number

act_RationalNumbers


El conjunto de los números racionales está formado por todos los números que pueden escribirse en forma de fracción, es decir cociente de números enteros. Estos cocientes pueden dar un número entero o un decimal, pero no cualquier tipo de decimal.

Aquí puedes encontrar los materiales que vamos a usar en esta unidad sobre Números racionales

Temas trabajados: fracciones, aritmética y aplicaciones; números decimales, aritmética, errores y aproximaciones, aplicaciones; relación fracción/número decimal, fracción generatriz

act_NúmerosRacionales

Una breve historia de las sucesiones

En el siguiente artículo se describe brevemente la evolución histórica del concepto de sucesión dentro de las matemáticas. También se mencionan algunas de las aplicaciones que las sucesiones han tenido y tienen dentro y fuera de las matemáticas.

Sucesiones_BreveHistoria