I've tried to learn more about the PH story from a different perspective. I am an old Canadian, looking someplace warm - a tropical respite - for my last adventures. As I read your educational journey with your daughter, I thought I might describe how things used to be in Canada.
From my recollection the first process in education is motivation. The background that you are giving will motivate your daughter greatly. There is a second process that should inspire your daughter too. When you teach your daughter subjects, do you just dictate to her on how to do it, or do you show her how to do it? Have you taught your daughter to crochet yet? If not will you just hand her the needles and yarn and tell her to go and do it or will you show her how to do it (Modelling)?
When I look at my mother and grandmothers, who lived in the Golden Age of Canadian Society, they had two institutions they attended: The Women's Institute and the Canadian Girls in Training. The Women's Institute was a way that socially isolated women could come together, interact, learn, be societally productive. I recently saw a video, of a PH vlogger taking her girls to clean trash from a beach. She was being an excellent model for her children. Having an organization of women coming together is an important thing for girls to see. Are there similar institutions in present day PH? Is it something that your daughter can see you doing. How aware is your daughter of the blogging that you do on Hive? Modelling is such an important aspect of learning.
Once you explain the importance of a topic (Motivation), and demonstrated the topic (Modelling), the next step is exercises or practice. In the case of Canada, the girls attended the Canadian Girls in Training. In my case, I attended Cub Scouts, 4-H (an agriculture based group), and the Key Club (a volunteer group in Secondary School). Regardless of the organization, it allowed the children to practice the skills that made for better people.
What I see is that you are doing more than teaching your daughter history or social studies. You are immersing her in these subjects so they will start to form part of her personality. I look forward for continuing posts on your adventures.
I think we have here what we call the Girl Scouts of the Philippines. I joined that org when I was a kid mainlh because it was a requirement at our school.
We do go for internal motivation when it comes to our study time. And I totally agree with modelling because basically kids learn through what they see. But a main consideration in my teaching method is my kid's personality. It's not I teach, I show, you do. Our study time mostly comprises of me reading aloud to her, then her narrating back what she understood, that leads to a conversation rich in ideas and her thoughts and input. It could be considered child led, being that we base everything on her personality, but we do to lay down the rails so to say through mindful and intentional habits training.